algebras on subintervals of pseudo hoops if a is a bounded email protected monoid or a pseudo bl algebra then it was proved that a subinterval a b of a can be endowed with a structure of an algebra of the same kind as a similar results were obtained if a is a residuated lattice and a b belong to the boolean center of a given a bounded pseudo hoop a in this paper we will give conditions for a email protected a for the subinterval a b of a to be endowed with a structure of a pseudo hoop we will introduce the notions of bosbach and riecan states on a pseudo hoop we study their properties and we prove that any bosbach state on a good pseudo hoop is a riecan state for the case of a bounded wajsberg pseudo hoop we prove that the two states coincide we also study the restrictions of bosbach states on subinterval algebras of a pseudo hoop

fuzzy filters of mtl algebras characterizations of fuzzy filters in mtl algebras are given the fuzzy filter generated by a fuzzy set is considered the notion of boolean fuzzy filters and mv fuzzy filters are introduced and related properties are investigated a condition for a fuzzy filter to be boolean is provided a characterization of a boolean fuzzy filter is given a congruence relation on a mtl algebra induced by a fuzzy filter is established and we show that the set of all congruence relations induced by a fuzzy filter is a completely distributive lattice

the cauchy problem for coupled yang mills and scalar fields in the temporal gauge we study the cauchy problem for minimally coupled classical yang mills and scalar fields inn 1 dimensional space time in the temporal gauge we prove the existence and uniqueness of solutions for small time intervals and for anyn we then develop a general theory of solutions in local spaces and extend the previous local in time results to this more general setting in space time dimensions two and three we prove the existence of global in time solutions by the method of a priori estimates both in global and local spaces in space time dimension four our estimates yield only partial results on the global existence problem

ideals and involutive filters in generalizations of fuzzy structures bounded integral residuated lattices which need not be commutative form a large class of algebras containing some classes of algebras behind many valued and fuzzy logics congruences of such algebras are usually defined and investigated by means of their normal filters in the paper we introduce and investigate ideals of residuated lattices we show that one can define in some cases congruences also using ideals and that the corresponding quotient residuated lattices are involutive

fuzzy filters of bl algebras the aim of this paper is to introduce the notions of fuzzy filters fuzzy prime filters and the cosets of a fuzzy filter in bl algebras and investigate some of their properties the fuzzy filter generated by a fuzzy set is discussed some characterizations of fuzzy filters and fuzzy prime filters are derived the extension theorem of fuzzy prime filters and the fuzzy prime filters theorem are established finally we prove that the algebra l f which is the set of all cosets of f is a bl algebra and is isomorphic to the bl algebra l ff 1 where ff 1 x l f x f 1 moreover each bl algebra l is a subdirect product of linearly ordered bl algebras l fi i where fi i are fuzzy prime filters of l

fuzzy boolean and positive implicative filters of bl algebras the aim of this paper is to introduce the notions of fuzzy boolean filters and fuzzy positive implicative filters in bl algebras and to investigate their properties several characterizations of fuzzy boolean filters and fuzzy positive implicative filters are derived the extension theorems of fuzzy boolean filters and fuzzy positive implicative filters are obtained the relation between fuzzy boolean filters and fuzzy positive implicative filters is investigated and it is proved that every fuzzy boolean filter is a fuzzy positive implicative filter but the converse may not be true furthermore the conditions under which a fuzzy positive implicative filter is a fuzzy boolean filter are established

global energy solutions of chern simons higgs equations in one space dimension abstract we study an initial value problem of chern simons higgs equations in one space dimension the global existence of solutions is proved for the finite energy data moreover we study local well posedness below the energy regularity observing null forms of the system and applying bilinear estimates for wave sobolev space h s

filters in fuzzy class theory a concept of filter is introduced in fuzzy class theory graded properties of filters prime filters and related constructions are investigated in particular the properties of filters relativized with respect to the three basic t norms godel product and lukasiewicz are studied a naturally arising example of a graded filter is constructed and it is shown that the models of filters include well known families of set functions

on vertices of simple modules for symmetric groups of small degrees abstract we present some algorithmic methods for the computation of vertices of indecomposable and simple modules over group algebras in prime characteristic furthermore we apply these to the simple modules of the symmetric groups and determine the vertices of all simple modules of the symmetric groups of degree at most 14 and 15 in characteristic 2 and 3 respectively with one exception

irreducible specht modules are signed young modules recently donkin defined signed young modules as a simultaneous generalization of young and twisted young modules for the symmetric group we show that in odd characteristic if a specht module s is irreducible then s is a signed young module thus the set of irreducible specht modules coincides with the set of irreducible signed young modules this provides evidence for our conjecture that the signed young modules are precisely the class of indecomposable self dual modules with specht filtrations the theorem is false in characteristic two

on v filters and normal v filters of a residuated lattice with a weak vt operator in this paper we study further the filter theory of residuated lattices first we discuss the concepts of filters and normal filters of residuated lattices and propose some equivalent conditions for them then we introduce and investigate the notions of v filter and normal v filter of a residuated lattice with a weak vt operator and lay bare the formulas for calculating the v filters and the normal v filters generated by subsets finally we show that the lattices of v filters and normal v filters of a residuated lattice with a vt operator are both complete brouwerian lattices

state bck algebras and state morphism bck algebras abstract in the paper we define the notion of a state bck algebra and a state morphism bck algebra extending the language of bck algebras by adding a unary operator which models probabilistic reasoning we present a relation between state operators and state morphism operators and measures and states on bck algebras respectively we study subdirectly irreducible state morphism bck algebras we introduce the concept of an adjoint pair in bck algebras and show that there is a one to one correspondence between adjoint pairs and state morphism operators in addition we show the generators of quasivarieties of state morphism bck algebras

filters of residuated lattices and triangle algebras an important concept in the theory of residuated lattices and other algebraic structures used for formal fuzzy logic is that of a filter filters can be used amongst others to define congruence relations specific kinds of filters include boolean filters and prime filters in this paper we define several different filters of residuated lattices and triangle algebras and examine their mutual dependencies and connections triangle algebras characterize interval valued residuated lattices

a proof of the mullineux conjecture a partition of a positive integer n is a sequence 1 2 m 0 of integers such that i n for a positive integer p a partition 1 2 m or its young diagram is called p regular if it does not have p or more equal parts i e if there does not exist t m p 1 with t t 1 t p 1 let f be a field of characteristic p 0 it is well known that irreducible representations of the symmetric group sn over f are naturally parametrized by pregular partitions of n cf for example 9 12 if is such a partition we denote the corresponding irreducible module by d let sgnn be the one dimensional sign representation of sn over f i e sgnn f as a vector space and g f sgn g f for any g sn f f here sgn g is just the sign of the permutation g it is clear that for any irreducible d the tensor product d sgnn is also irreducible the problem usually called the problem of mullineux is to find the p regular partition such that d sgnn d put d sgnn dn in this way a bijection bn on the set pn of p regular partitions of n is defined for each positive integer n and the problem is

the varieties for some specht modules abstract j carlson introduced the cohomological and rank variety for a module over a finite group algebra we give a general form for the largest component of the variety for the specht module for the partition p p of p 2 restricted to a maximal elementary abelian p subgroup of rank p we determine the varieties of a large class of specht modules corresponding to p regular partitions to any partition of np of not more than p parts with empty p core we associate a unique partition of np where the rank variety of the restricted specht module s e n to a maximal elementary abelian p subgroup e n of rank n is v e n k if and only if v e n s v e n k in some cases where is a 2 part partition we show that the rank variety v e n s is v e n k in particular the complexity of the specht module s is n

generic module theory abstract the process of restricting modules to cyclic shifted subgroups is a fundamental technique in the modular representation theory of elementary abelianp groups ifeis elementary abelian ofp rankrandkis an algebraically closed field of characteristicp then each point inkr 0 determines a cyclic shifted subgroup because the restriction of ake module to this shifted subgroup depends only upon the corresponding point in projective space it is often convenient to work with2kr 1instead ofkr 0 roughly speaking this paper shows that ifvis an irreducible subvariety of3kr 1andmis ake module then for almost all points invthe direct sum decomposition ofmis the same upon restriction moreover this decomposition is completely determined by the behavior ofmupon restriction to the cyclic shifted subgroup corresponding to the generic point ofv a similar idea provides a stratification of the rank variety ofminto a disjoint union of locally closed subspaces the closures of these subspaces are then described in terms of deformations of modules over a group of orderp

reducible specht modules abstract james and mathas conjecture a criterion for the specht module s for the symmetric group to be irreducible over a field of prime characteristic we extend a result of lyle to prove this conjecture in one direction our techniques are elementary

remarks on chern simons gauged o 3 sigma model in one space dimension we find the stationary solutions of the chern simons gauged o 3 sigma model in one space dimension and study an initial value problem under the gauge condition a1 0 we also study low regularity local well posedness using bilinear estimates for wave sobolev space h1 as a by product we construct a finite energy global solution by considering the conservation of energy we find the stationary solutions of the chern simons gauged o 3 sigma model in one space dimension and study an initial value problem under the gauge condition a1 0 we also study low regularity local well posedness using bilinear estimates for wave sobolev space h1 as a by product we construct a finite energy global solution by considering the conservation of energy

measures states and de finetti maps on pseudo bck algebras in this paper we extend the notions of states and measures presented in dvurecenskij and pulmannova 2000 12 to the case of pseudo bck algebras and study similar properties we prove that under some conditions the notion of a state in the sense of dvurecenskij and pulmannova 2000 12 coincides with the bosbach state and we extend to the case of pseudo bck algebras some results proved by kuhr only for pseudo bck semilattices we characterize extremal states and show that the quotient pseudo bck algebra over the kernel of a measure can be embedded into the negative cone of an archimedean group additionally we introduce a borel state and using results by kuhr and mundici 2007 28 we prove a relationship between de finetti maps bosbach states and borel states

signed young modules and simple specht modules abstract by a result of hemmer every simple specht module of a finite symmetric group over a field of odd characteristic is a signed young module while specht modules are parametrized by partitions indecomposable signed young modules are parametrized by certain pairs of partitions the main result of this article establishes the signed young module labels of simple specht modules along the way we prove a number of results concerning indecomposable signed young modules that are of independent interest in particular we determine the label of the indecomposable signed young module obtained by tensoring a given indecomposable signed young module with the sign representation as consequences we obtain the green vertices green correspondents cohomological varieties and complexities of all simple specht modules and a class of simple modules of symmetric groups and extend the results of gill on periodic young modules to periodic indecomposable signed young modules

on filter theory of residuated lattices the aim of this paper is to develop the filter theory of general residuated lattices first we extend some particular types of filters and fuzzy filters in bl algebras and mtl algebras naturally to general residuated lattices and further enumerate some relative results obtained in bl algebras or mtl algebras which still hold in general residuated lattices next we introduce the concepts of regular filters and fuzzy regular filters to general residuated lattices which are two new types of filters and fuzzy filters and derive some of their characterizations finally we discuss the relations between fuzzy regular filters and several other special fuzzy filters and also characterize some special classes of residuated lattices by filters or fuzzy filters

the cohomology of the lyons group and double covers of alternating groups from the classification theorem for finite simple groups we know that there are precisely eight sporadic simple groups which have z 2 as their largest elementary abelian 2 subgroup i e they have rank equal to four at the prime p 2 the two mathieu groups m22 m23 the two janko groups j2 j3 the mclaughlin group mcl the lyons group ly and two groups with much larger 2 sylow subgroups hs higman sims and co3 one of conway s groups in previous work the mod 2 cohomology rings of m22 am2 m23 m j2 and j3 cmm and mcl am3 were computed one of the main objectives of this paper is to determine the cohomology ring h ly f2 even though ly is a large and complicated group it is the largest of those in the list of above having order equal to 51 765 179 004 10 the answer turns out to be surprisingly simple we show that ly has two conjugacy classes of maximal 2 elementary subgroups one 2 with weyl group a7 and one 2 3 with weyl group l3 2 and we prove that these subgroups detect h ly in am4 we determined the ring of invariants h 24 a7 f2 d8 d12 d14 d15 1 a18 a20 a21 a24 a25 a27 a45 while it is well known that the invariants h 23 l3 2 are f2 d4 d6 d7 the dickson algebra from this we obtain

support varieties for modules over symmetric groups 1 1 in the late 1970s alperin a defined an invariant called the complexity of a module as a way to relate the modules with the complexes and resolutions that they admit several years later carlson ca1 ca2 defined affine algebraic varieties corresponding to modules over group algebras these varieties are subvarieties of the spectrum of the cohomology ring which was earlier described by quillen q they are known in present day language as support varieties it was discovered early on that the complexity of a module is equal to the dimension of the support variety of the module geometric methods involving support varieties have played a fundamental role in understanding the interplay between the modular representation theory and cohomology for finite groups despite substantial progress in this direction there have been few explicit computations of support varieties for important classes of modules over certain groups the goal of this paper is to introduce methods and techniques for computing support varieties for modules over the symmetric group d in the process we will provide explicit computations of support varieties for certain classes

fixed point functors for symmetric groups and schur algebras abstract let d be the symmetric group for 1 f m be the functor which takes a d module u to the space of fixed points u m which is naturally a module for d m this functor was previously used by the author to study cohomology of the symmetric group but little is known about it this paper initiates a study of f m first we relate it to james work on row and column removal and decomposition numbers for the schur algebra next we determine the image of dual specht modules permutation and twisted permutation modules and some young and twisted young modules under f m in particular f m acts as first row removal on dual specht modules s with 1 m and as first column removal on twisted young and twisted permutation modules corresponding to partitions with m parts finally we prove that determining f m on the young modules is equivalent to determining the decomposition numbers for the schur algebra

commutative deductive systems in probability theory on generalizations of fuzzy structures abstract the aim of this paper is to introduce the notion of commutative deductive systems on generalizations of fuzzy structures and to emphasize their role in the probability theory on these algebras we give a characterization of commutative pseudo be algebras and we generalize an axiom system consisting of four identities to the case of commutative pseudo be algebras we define the commutative deductive systems of pseudo be algebras and we investigate their properties it is proved that if a pseudo be a algebra a is commutative then all deductive systems of a are commutative moreover we generalize the notions of measures state measures and measure morphisms to the case of pseudo be algebras and we also prove that there is a one to one correspondence between the set of all bosbach states on a bounded pseudo be algebra and the set of its state measures the notions of internal states and state morphism operators on pseudo bck algebras are extended to the case of pseudo be algebras and we also prove that any type ii state operator on a pseudo be algebra is a state morphism operator on it the notions of pseudo valuation and commutative pseudo valuation on pseudo be algebras are defined and investigated for the case of commutative pseudo be algebras we prove that the two kind of pseudo valuations coincide characterizations of pseudo valuations and commutative pseudo valuations are given we show that the kernel of a bosbach state state morphism measure type ii state operator pseudo valuation is a commutative deductive system

fuzzy ideals and congruences of lattices general theory of algebraic fuzzy systems developed earlier by the authors is applied to extend the stone s prime ideal theorem to fuzzy ideals of distributive lattices a correspondence between fuzzy ideals and fuzzy congruences in a distributive lattice is obtained and certain important properties of these are discussed

eq algebras we introduce a new class of algebras called eq algebras an eq algebra has three basic binary operations meet multiplication and a fuzzy equality and a top element these algebras are intended to become algebras of truth values for a higher order fuzzy logic a fuzzy type theory ftt the motivation stems from the fact that until now the truth values in ftt were assumed to form either an imtl bl or mv algebra all of them being special kinds of residuated lattices in which the basic operations are the monoidal operation multiplication and its residuum the latter is a natural interpretation of implication in fuzzy logic the equivalence is then interpreted by the biresiduum a derived operation the basic connective in ftt however is a fuzzy equality and therefore it is not natural to interpret it by a derived operation this defect is expected to be removed by the class of eq algebras introduced and studied in this paper from the algebraic point of view the class of eq algebras generalizes in a certain sense the class of residuated lattices and so they may become an interesting class of algebraic structures as such

mv algebras derived from ideals in bl algebras we introduce the notion of ideal in bl algebras as a natural generalization of that of ideal in mv algebras we show that from a purely algebraic point of view the introduced notion has the proper meaning among other things we establish that an ideal is prime if and only if the quotient bl algebra is an mv chain and also that the mv center of a bl algebra as treated by turunen and sessa is simply the factor of the bl algebra by the trivial ideal we also analyze the relationship between ideals and deductive systems using the set of complement elements it is our hope that this work will settle once and for all the existence of ideals in bl algebras settings

on schur algebras and related algebras ii this paper is a continuation of 7 the purpose of 7 was to set up in the context of reductive algebraic groups a theory of generalized schur algebras a special case of our construction gives the schur algebras s n r studied extensively in lo we concentrate here on the schur algebras themselves and show that our construction yields new results in their representation theory by means of the schur functor see 10 chap 6 we obtain new results in the representation theory of the symmetric groups the main results are as follows the schur algebras s n r defined over a principal ideal domain r have finite global dimension see also 1 i over a field or complete valuation ring r every finitely generated projective s n r module has a weyl module filtration we prove the irreducibility of the socle of certain weyl modules see also 15 we describe a connection between weights of projective indecomposable modules for the schur algebras in terms of the involution on irreducible representations of symmetric groups given by tensoring with the sign representation we show that over a complete valuation ring or a field every young module for a symmetric group has a specht series in particular the projective indecomposables have specht series finally we show that for r n and a complete valuation ring or field r the blocks of the schur algebra s n r are given by the rule embodied in nakayama s conjecture the notations and conventions are as in the first part of this work 7

vertices of specht modules and blocks of the symmetric group abstract this paper studies the vertices in the sense defined by j a green of specht modules for symmetric groups the main theorem gives for each indecomposable non projective specht module a large subgroup contained in one of its vertices a corollary of this theorem is a new way to determine the defect groups of symmetric groups the main theorem is also used to find the green correspondents of a particular family of simple specht modules as a corollary this gives a new proof of the brauer correspondence for blocks of the symmetric group the proof of the main theorem uses the brauer homomorphism on modules as developed by m broue together with combinatorial arguments using young tableaux

on fuzzy filters of pseudo bl algebras abstract we introduce the concept of fuzzy filters of pseudo bl algebras and obtain some of their important properties we further give several kinds of fuzzy filters such as fuzzy boolean filter fuzzy normal filter fuzzy prime filter fuzzy ultrafilter and fuzzy obstinate filter and discuss the relations among the above fuzzy filters we establish the prime fuzzy filter theorem in pseudo bl algebras by studying the relation between fuzzy boolean filter and fuzzy normal filter in pseudo bl algebras we solve an open problem that whether or not every boolean filter is normal in pseudo bl algebras

generic and maximal jordan types for a finite group scheme g over a field k of characteristic p 0 we associate new invariants to a finite dimensional kg module m namely for each generic point of the projectivized cohomological variety text proj mathop h bullet g k we exhibit a generic jordan type of m in the very special case in which g e is an elementary abelian p group our construction specializes to the non trivial observation that the jordan type obtained by restricting m via a generic cyclic shifted subgroup does not depend upon a choice of generators for e furthermore we construct the non maximal support variety g m a closed subset of text proj mathop h bullet g k which is proper even when the dimension of m is not divisible by p

straightening rule for an m truncated polynomial ring abstract we consider a certain quotient of a polynomial ring categorified by both the isomorphic green rings of the symmetric groups and schur algebras generated by the signed young permutation modules and mixed powers respectively they have bases parametrised by pairs of partitions whose second partitions are multiples of the odd prime p the characteristic of the underlying field we provide an explicit formula rewriting a signed young permutation module respectively mixed power in terms of signed young permutation modules respectively mixed powers labelled by those pairs of partitions as a result for each partition we discovered the number of compositions such that can be rearranged to and whose partial sums of are not divisible by p

sylow subgroups of symmetric and alternating groups and the vertex of s kp p 1p in characteristic p abstract we show that the sylow p subgroups of a symmetric group respectively an alternating group are characterized as the p subgroups containing all elementary abelian p subgroups up to conjugacy of the symmetric group respectively the alternating group we apply the characterization result for symmetric groups to compute the vertices of the hook specht modules associated to the partition k p p 1 p under the assumption that k 1 mod p and k 1 mod p 2

on some trivial source specht modules abstract the paper presented here focuses on the classification of trivial source specht modules we completely classify the trivial source specht modules labelled by hook partitions we also classify the trivial source specht modules labelled by two part partitions in the odd characteristic case moreover in the even characteristic case we prove a result for the classification of the trivial source specht modules labelled by partitions with 2 weight 2 which justifies a conjecture of 16

cartan matrices and morita equivalence for blocks of the symmetric groups theorem 1 the blocks of the symmetric groups with a given weight w 0 over a field of characteristic p can be collected into families according to the shapes of their cores each family consists of morita equivalent blocks the number of such families is at most flf 1 i l w 1 11 and each family contains a block of some g where n is less than or equal to p2 p 1 2 w 1 2 4 wp

fuzzy implicative and boolean filters of r 0 algebras the notions of fuzzy filters fuzzy implicative filters and fuzzy boolean filters are introduced in r0 algebras respectively some of their properties are investigated the relations between fuzzy implicative filters and fuzzy boolean filters are discussed the characterizations of fuzzy implicative filters are studied and the following is proved to be equivalent 1 a fuzzy filter f is implicative 2 f is a fuzzy boolean filter 3 x y z l f x z f x z y f y z 4 x y l f x y f x y y 5 x l n 1 f nx f x

fuzzy positive implicative and fuzzy associative filters of lattice implication algebras we fuzzify the concept of positive implicative filters and associative filters in lattice implication algebras we prove that i every fuzzy positive implicative filter is a fuzzy implicative filter and ii every fuzzy associative filter is a fuzzy filter we provide equivalent conditions for both fuzzy positive implicative filter and fuzzy associative filter

symmetric and exterior powers linear source modules and representations of schur superalgebras we study modules for the general linear group over an infinite field of arbitrary characteristic which are direct summands of tensor products of exterior powers and symmetric powers of the natural module these modules which we call listing modules include the tilting modules and the injective modules for schur algebras the modules are studied via their relationship to linear source modules for symmetric groups on the one hand and simple modules for schur superalgebras on the other listing modules are parametrized by certain pairs of partitions they are used to describe by generators and relations the grothendieck ring of polynomial functors generated by the symmetric and exterior powers we also continuing work of j grabmeier describe the vertices and sources of linear source modules for symmetric groups 2000 mathematical subject classification 20g05 20c30

pseudo bl algebras and pseudo effect algebras pseudo bl algebras and pseudo effect algebras arose in two rather different fields fuzzy logics and quantum logics in this paper by introducing the notion of pseudo weak mv effect algebra which is non commutative generalization of weak mv effect algebra we investigate the mutual relationship between pseudo bl algebras and pseudo effect algebras we prove that dual pseudo bl algebra under certain condition can be restricted to a pseudo weak mv effect algebra and a pseudo weak mv effect algebra can be extended to dual pseudo bl algebra under certain condition moreover we give some examples of pseudo bl algebra which is corresponding to some pseudo weak mv effect algebra finally we establish the relationship between pseudo mv algebras and pseudo mv effect algebras

local and global solutions of chern simons gauged o 3 sigma equations in one space dimension we study an initial value problem of the chern simons gauged o 3 sigma model in one space dimension the global existence of solutions to the model is proved for high regularity initial data moreover we study low regularity local well posedness observing null forms of the system and applying bilinear estimates for wave sobolev space hs as a by product a finite energy global solution is constructed

invariants of specht modules abstract in 14 hemmer conjectures that the module of fixed points for the symmetric group m of a specht module for n with n m over a field of positive characteristic p has a specht series when viewed as a n m module we provide a counterexample for each prime p the examples have the same form for p 5 and we treat the cases p 3 and p 2 separately

the cauchy problem for the coupled maxwell schrodinger equations the cauchy problem for the coupled maxwell schrodinger equations in rd in the lorentz gauge is considered the viscosity method is used to establish local existence in one and two space dimensions global solutions are obtained

some global solutions of the yang mills equations in minkowski space a class of global solutions of the yang mills equations whose cauchy data depend on a pair of arbitrary functions is constructed the asymptotic propagation of the energy in space time is studied the same results are valid if the yang mills field is coupled to a scalar field

boolean filters and positive implicative filters of residuated lattices the aim of this paper is to introduce the notions of boolean filters and positive implicative filters in residuated lattices and to investigate their properties several characterizations of boolean filters and positive implicative filters are derived the extension theorems of implicative filters and positive implicative filters are obtained the relations among boolean filters implicative filters and positive implicative filters are investigated and it is proved that boolean filters are equivalent to implicative filters and that every boolean filter is a positive implicative filter but the converse may not be true furthermore the conditions under which a positive implicative filter is a boolean filter are established

fuzzy filters and fuzzy prime filters of bounded r l monoids and pseudo bl algebras the logical foundations of processes handling uncertainty in information use some classes of algebras as algebraic semantics the sets of provable formulas in corresponding inference systems from the point of view of uncertain information can be described by fuzzy filters of those algebraic semantics bounded residuated lattice ordered monoids email protected monoids are a common generalization of pseudo bl algebras and consequently of pseudo mv algebras and heyting algebras i e algebras behind fuzzy and intuitionistic reasoning in the paper we introduce and investigate fuzzy filters of bounded email protected monoids and fuzzy prime filters of pseudo bl algebras

states on semi divisible generalized residuated lattices reduce to states on mv algebras a semi divisible residuated lattice is a residuated lattice l satisfying an additional condition weaker than that of divisibility such structures are related to mathematical fuzzy logic as well as to extended probability theory by the fact that the subset of complemented elements induces an mv algebra we define generalized residuated lattices by omitting commutativity of the corresponding monoidal operation and study semi divisibility in such structures we show that given a good generalized residuated lattice l the set of complemented elements of l denoted by mv l forms a pseudo mv algebra if and only if l is semi divisible maximal filters on a semi divisible generalized residuated lattice l are in one to one correspondence with maximal filters on mv l we study states on semi divisible generalized residuated lattices riecan states on a semi divisible generalized residuated lattice l are determined by riecan states on mv l the same holds true for bosbach states whenever l is a good divisible generalized residuated lattice extremal riecan states on a semi divisible generalized residuated lattice l are in one to one correspondence with maximal and semi normal filters on l

some reducible specht modules we wish to consider which ordinary irreducible representations of the symmetric group sn remain irreducible modulo a prime p this is the same as asking which partitions of n have the property that the corresponding specht module s is reducible over a field of characteristic p if or its conjugate partition is p regular then the answer is known 6 8 it is also known in the case p 2 7 this paper discusses some of the reducible specht modules in the case that p 3 throughout p will be an odd prime and a partition of some integer n we will prove some cases of a conjecture by james and mathas 9 given below we begin with some definitions

local and global solutions of the chern simons higgs system abstract we study low regularity solutions of the chern simons higgs equations the lorentz gauge condition makes them hyperbolic equations with the null form under the coulomb gauge condition they are formulated in the hyperbolic equation coupled with elliptic equation the div curl decomposition is used in the temporal gauge

irreducible specht modules for hecke algebras of type a abstract let f be a field n a non negative integer a partition of n and s the corresponding specht module for the iwahori hecke algebra h f q s n james and mathas conjecture a necessary and sufficient condition on for s to be irreducible we prove the sufficiency of this condition in the case where f has infinite characteristic and also in the case where q 1