Source: http://servus.math.su.se/bergman/publications.html
Timestamp: 2019-04-25 15:51:57+00:00

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other references covering theoretic and implementational aspects of bergman.
On the rationality of some Hilbert series. 1.
Preprints Univ. Stockholm No.16, 1975.
C. R. Acad. Sci., Paris, Ser. A287, 843-846, 1978.
Monomial rings of embedding dimension four have rational Poincaré series.
Rep. Dep. Mat. Univ. Stockholm, No.14, 15, 1980.
A distributiveness property of augmented algebras and some realted homological results.
1991 J. Backelin, R. Fröberg.
S.M.Watt, ed. Proceedings of the ISAAC'91. - ACM, 1991. - P. 103-111.
C. R. Acad. Sci. Paris Sér. I Math. 316 (1993), no. 11, 1123-1128.
On computer-assisted research in homological algebra.
Math. Comput. Simulation 42 (1996), no. 4-6, 475-490.
Journal of Pure and Applied Algebra, v. 91, 1994. - P. 255-315. Bergman relevant pages are 300-302.
C. R. Acad. Sci. Paris Sér. I Math. 321 (1995), no. 1, 15-20.
Roos, Jan-Erik, A description of the homological behavior of families of quadratic forms in 4 variables.
1995 S. Cojocaru, V. Ufnarovski.
Computer Science Journal of Moldova, v. 3, Nr. 1(7), 1995. - P. 24-39.
A.I. Kostrikin, I.R. Shafarevich, eds. Algebra VI. - Encyclopaedia of Mathematical Sciences, v. 57. - Berlin, Heidelberg, New York: Springer-Verlag, 1995. - P. 1-196. Full algebraic backgrounds in encyclopedy presentation (results only, no proofs). Advanced bibliography on the topic.
Computer Science Journal of Moldova, v.4, nr. 3, 1996, pp.428-435.
1997 C. Löfwall, J.-E. Roos.
Adv. Math. 130 (1997), no. 2, 161-200.
In: Gröbner Bases and Applications, London Mathematical Society Lecture Notes Series. 251, pp. 259-280, 1998.
1998 S. Cojocaru, A. Podoplelov, V. Ufnarovski.
In: Progress in Mathematics, vol. 173, Birkhaeuser Verlag, Basel (Switzerland), pp.139-159.
1998 J.-E. Roos, B. Sturmfels.
A toric ring with irrational Poincaré-Betti series.
C. R. Acad. Sci. Paris, Sér. I Math. 326 (1998), no. 2, 141-146.
Homological Properties of quotients of exterior algebras.
1999 R. Fröberg, J.-E. Roos.
Journal of Pure and Applied Algebra, v. 144(?).
Advances in geometry, 385-389, Progr. Math., 172, Birkhäuser, Boston, MA, 1999.
2003 J. Backelin, S. Cojocaru, V. Ufnarovski.
The Computer Algebra Project Bergman: Current State, in: "Commutative algebra, Singularities and Computer Algebra", eds. J.Herzog and V.Vulutescu, pp. 75-101. - Series II. Mathematics, Physics and Chemistry. Vol. 115, Kluwer Academic Publishers.
BERGMAN. In: Computer Algebra Handbook. J. Grabmeier, E. Kaltofen, V. Weispfenning (Eds.). - Springer, 2003, pp. 349-352.
2005 J. Backelin, S. Cojocaru, V. Ufnarovski.
Mathematical computations using Bergman. - Lund University, Sweden, 2005. - 206 p. - ISBN 91-631-7203-8. A printed version of the bergman manual.
2005 J. Backelin, S. Cojocaru, A. Colesnicov, L. Malahova, V. Ufnarovski.
Problems in interaction with the Computer Algebra System Bergman. In: Computational Commutative and Non-Commutative Algebraic Geometry, vol. 196, NATO Science Series. Series III: Computer and Systems Sciences. G. Pfister, S. Cojocaru, V. Ufnarovski (Eds.). - IOS Press, 2005, pp. 185-198.
2005 D. Ronnovius, V. Ufnarovski.
Algorithmic Problems in SAGBI Basis Calculations. In: Computational Commutative and Non-Commutative Algebraic Geometry, vol. 196, NATO Science Series. Series III: Computer and Systems Sciences. G. Pfister, S. Cojocaru, V. Ufnarovski (Eds.). - IOS Press, 2005, pp. 244-248.
2005 A. Torstensson, V. Ufnarovski, H. Öfverbeck.
Using resultants for SAGBI basis verification in the univariate polynomial ring. Journal of Symbolic Computation, vol. 40, issue 3, September 2005, pp. 1087-1105.
Constructive Methods for SAGBI and SAGBI-Gröbner Bases. Ph.D. thesis, Lund University, 2005. The corresponding software computing Hilbert Base, SAGBI and SAGBI-Gröbner packages for Maple can be found here.
An Algorithm for Finding a Basis for the Residue Class Ring of a Zero-Dimensional Polynomial Ideal.
Univ. of Innsbruck, Austria, Math. Inst., Ph. D. Thesis, 1965. - In German.
ACM SIGSAM Bull. 10/3: 19-29, and 10/4: 19-24, 1976.
In: Proc. of the EUROSAM 79 Symp. on Symbolic and Algebraic Computation, Marseille, June 26-28, 1979 (Lect. Notes in Comp. Sci. 72, Springer): 3-21.
Transactions of the American Mathematical Society, v. 296, Nr. 2, 1986. - P. 87-112. An article on theoretical backgrounds of Anick's resolution calculation.
1995 A. Colesnicov, L. Malahova.
Computer Science Journal of Moldova, v. 3, Nr. 2(8), 1995. - P. 111-122. Software engineering problems of implementing shell for bergman.
Computer Science Journal of Moldova, v. 4, Nr. 2(11), 1996. - P. 260-276. Details and problems on the shell for bergman implemented under MS-DOS.
Some aspects of shell design and implementation.
Academy of Sciences of Moldova, Institute of Mathematics. Dissertation of the doctor in physics and mathematics, 1996. - 96 p. Chapter 3 (pp. 46-70) describes new kinds of object interaction and aspects of their implementation using bergman as an example; actually, work over bergman was the source of introduced ideas.
2000 S.Cojocaru, A. Colesnicov, L. Malahova, S. Verlan.
Conferinta corpului didactico-stiintific "Bilantul activitatii stiintifice a USM pe anii 1998/99". Rezumatele comunicarilor, Chisinau. - P. 91-92. - In Romanian. - [Security aspects in the symbolic calculation system Bergman./ Teaching and research personnel conference "Results of scientific research at the State University of Moldova in 1998-1999". Report abstracts. - Kishinev.] Problems of security in the bergman system is discussed.
2002 S.Cojocaru, A. Colesnicov, L. Malahova.
Network version of the computer algebra system bergman.
Computer Science Journal of Moldova. v.10, Nr.2, 2002, pp.216-222. Network demo version of the computer algebra system bergman is described.
2005 S.Cojocaru, A. Colesnicov, L. Malahova.
Interfaces to symbolic computation systems: reconsidering experience of Bergman.
Computer Science Journal of Moldova. v.13, Nr.2, 2005, pp.232-244.
2006 S.Cojocaru, L. Malahova, A. Colesnicov.
Providing Modern Software Environments to Computer Algebra Systems.
In: Computer Algebra in Scientific Computing, Proceedings of the 9th International Workshop, CASC 2006, Chisinau, Moldova, September 11-15, 2006. LNCS, Springer, pp.120-140.
Intelligent interfaces for Computer Algebra Systems.
Dr.Habilitat thesis. Chisinau, 2007 (in Romanian).
Woburn, MA: Digital Press, 1990. - 1035 p. CLTL2 - a book defining Common Lisp. There is a WWW-version of the book.
1994 X3.226:1994. Programming Language Common Lisp [J13] ANSI Standard developed after CLTL2. There is a WWW-version of the standard.

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