Topic
Cancellative semigroup
About: Cancellative semigroup is a research topic. Over the lifetime, 1320 publications have been published within this topic receiving 13319 citations.
Papers published on a yearly basis
Papers
More filters
01 Jan 1988
8 citations
TL;DR: For a commutative cancellative semigroup S, the authors defined the rank of S intrinsically and characterized the rank in terms of embeddability into a rational vector space of the greatest power cancellative image of S.
Abstract: For a commutative cancellative semigroup S , we define the rank of S intrinsically. This definition implies that the rank of S equals the usual rank of its group of quotients. We also characterize the rank in terms of embeddability into a rational vector space of the greatest power cancellative image of S.
8 citations
TL;DR: The inverse semigroup of partial automaton permutations over a finite alphabet is characterized in terms of wreath products and the permutation conjugacy relation in this semigroup and the Green's rel...
Abstract: The inverse semigroup of partial automaton permutations over a finite alphabet is characterized in terms of wreath products. The permutation conjugacy relation in this semigroup and the Green's rel...
8 citations
TL;DR: In this article, the set of all doubles of a numerical semigroup is characterized, where the quotient S p = {x ∈ N ∣ p x ∈ S } is a double of S 2.
8 citations
TL;DR: In this paper, it is shown that filters play an important role in the study of Stone-Cech compactifications derived from a discrete semigroup, which can be considered as the spectrum of the algebra ℬ(S) or as a collection of ultrafilters on S.
Abstract: Stone-Cech compactifications derived from a discrete semigroup S can be considered as the spectrum of the algebra ℬ(S) or as a collection of ultrafilters on S. What is certain and indisputable is the fact that filters play an important role in the study of Stone-Cech compactifications derived from a discrete semigroup.
8 citations