Topic
Cancellative semigroup
About: Cancellative semigroup is a research topic. Over the lifetime, 1320 publications have been published within this topic receiving 13319 citations.
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147 citations
TL;DR: In this article, reduced and full semigroup C Ω-algebras for left cancellative semigroups are constructed for rings of integers in number fields, and the amenability of semigroup can be expressed in terms of these semigroup ℓ-alges.
145 citations
TL;DR: In this article, the authors investigated the relationship between group algebra and semigroup amenability for inverse semigroups S and obtained partial results for S with infinite sets of idempotent elements.
Abstract: If G is a group, then G is amenable as a semigroup if and only if l1(G), the group algebra, is amenable as an algebra. In this note, we investigate the relationship between these two notions of amenability for inverse semigroups S. A complete answer can be given in the case where the set Es of idempotent elements of S is finite. Some partial results are obtained for inverse semigroups S with infinite Es.
137 citations
Book•
14 Dec 1992
TL;DR: The adjoint semigroup as discussed by the authors is the adjoint of a positive semigroup, which is a generalization of the positive semigroups of the RNP, and it is defined in terms of tensor products.
Abstract: The adjoint semigroup.- The ?(X,X?)-topology.- Interpolation, extrapolation and duality.- Perturbation theory.- Dichotomy theorems.- Adjoint semigroups and the RNP.- Tensor products.- The adjoint of a positive semigroup.
134 citations
TL;DR: In this paper, the notion of fuzzy semiprimality in a semigroup is introduced, which is an extension of semimariality in it, and characterized in terms of fuzzy semi-parameters.
132 citations