In this note, we show that every full sublattice of Euclidean space is a quotient of a sublattices for which primes and coprimes are closed subsets. On the semisimple twisted group algebras of primary cyclic groups, pp. Let KtG be a twisted group algebra of a finite cyclic p-group G over a field K of characteristic different from p and of the second kind with respect to p. T Extended from R , pp. T is extended from R .
T is extended from R .
T is extended from R . The case when R is not integrally closed is also taken care of. Similar statements for rings with zero divisors are considered and their equivalence is established. Sufficient conditions on the Tychonoff spaces X and Y are found that imply that the equation in the title holds. Sufficient conditions on the Tychonoff space X are found that ensure that the equation holds for every Tychonoff space Y .