Topic
Bicyclic semigroup
About: Bicyclic semigroup is a research topic. Over the lifetime, 1507 publications have been published within this topic receiving 19311 citations.
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TL;DR: In this paper, the notion of Johnson pseudo-contractibility for certain Banach algebras was studied and it was shown that for a bicyclic semigroup S, l1(S) is not Johnson pseudo contractible.
Abstract: In this paper, we study the notion of Johnson pseudo-contractibility for certain Banach algebras. For a bicyclic semigroup S, we show that l1(S) is not Johnson pseudo-contractible. Also for a Johnson pseudo-contractible Banach algebra A, we show that A has no non-zero complemented closed nilpotent ideal.
3 citations
01 Feb 1994
3 citations
TL;DR: The concept of column tight Rees matrix semigroups was introduced in this article. But the concept of a column tight matrix semigroup has not yet been studied in this paper.
Abstract: For the translational hulls of two Rees matrix semigroups represented by means of matrices, we construct all their isomorphisms again in matrix form. These are matrices of arbitrary size over a group with zero satisfying certain conditions on nonzero entries. We introduce the concept of a r-maximal completely 0-simple and of a Rees matrix semigroup. To this end, we construct a Rees matrix semigroup from a group and a nonempty set and introduce the concept of a column tight Rees matrix semigroup. We study these concepts in relation to the translational hull of a Rees matrix semigroup.
3 citations
TL;DR: In this article, the authors determine computationally efficient conditions to test whether or not a near permutation semigroup is regular over a set X with N elements, where X is a set of elements.
Abstract: A transformation semigroup over a set X with N elements is said to be a near permutation semigroup if it is generated by a group of permutations on N elements and by a set of transformations of rank N − 1. The aim of this paper is to determine computationally efficient conditions to test whether or not a near permutation semigroup is regular.
3 citations
TL;DR: In this article, the authors studied algebraic and topological properties of the convolution semigroups of probability measures on a topological group and showed that a compact Clifford topological semigroup $S$ embeds into a convolution semiigroup $P(G) if and only if S$ is an inverse semigroup and has zero-dimensional maximal semilattice.
Abstract: We study algebraic and topological properties of the convolution semigroups of probability measures on a topological groups and show that a compact Clifford topological semigroup $S$ embeds into the convolution semigroup $P(G)$ over some topological group $G$ if and only if $S$ embeds into the semigroup $\exp(G)$ of compact subsets of $G$ if and only if $S$ is an inverse semigroup and has zero-dimensional maximal semilattice. We also show that such a Clifford semigroup $S$ embeds into the functor-semigroup $F(G)$ over a suitable compact topological group $G$ for each weakly normal monadic functor $F$ in the category of compacta such that $F(G)$ contains a $G$-invariant element (which is an analogue of the Haar measure on $G$).
3 citations