Showing papers on "Cancellative semigroup published in 1968"
32 citations
TL;DR: For a general ordered semigroup, Fuchs as mentioned in this paperuchs [6] defined the archimedean equivalence as follows: a ~ b if and only if one of the four conditions holds for some positive integer n.
Abstract: By an ordered semigroup we mean a semigroup with a simple order which is compatible with the semigroup operation. Several authors, for example Alimov [1], Clifford [2], Conrad [4] and Hion [7], studied the archimedean property in some special kinds of ordered semigroups. For a general ordered semigroup, Fuchs [6] defined the archimedean equivalence as follows: a ~ b if and only if one of the four conditionsholds for some positive integer n.
6 citations
TL;DR: In this paper, the authors give a criterion for the semigroup algebra of a finite commutative semigroup over a field to be Frobenius, and prove that the criterion holds for all semigroup algebras.
Abstract: In this article we give a criterion for the semigroup algebra of a finite commutative semigroup over a field to be Frobenius.