Results 241 to 250 of about 69,338 (279)

Semigroup Varieties and Semigroup Algebras

Semigroup Forum, 1999
The author proves several results of the following flavour: given an important ring-theoretical property \(\Theta\), he describes (both structurally and in the language of identities) all semigroup varieties \(V\) such that for each (or for each finite, or for each locally finite) semigroup \(S\in V\), the semigroup algebra \(FS\) over a field \(F ...
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The structure of a graph inverse semigroup

, 2014
Given any directed graph E one can construct a graph inverse semigroupG(E), where, roughly speaking, elements correspond to paths in the graph. In this paper we study the semigroup-theoretic structure of G(E).
Z. Mesyan, J. D. Mitchell
semanticscholar   +1 more source

Generalized Bicyclic Semigroups and Jones Semigroups

Southeast Asian Bulletin of Mathematics, 2001
A classic result of Anderson is that if a simple, but not completely simple, semigroup \(S\) contains an idempotent, then it contains a copy of the bicyclic monoid \(B=\langle a,b\mid ab=1\rangle\). The reviewer [Proc. R. Soc. Edinb., Sect. A 106, 11-24 (1987; Zbl 0626.20047)] showed that if such a semigroup is idempotent-free and Green's relation ...
Yu, Bingjun, Jiang, Qifen
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The minimal number of generators of a finite semigroup

, 2013
The rank of a finite semigroup is the smallest number of elements required to generate the semigroup. A formula is given for the rank of an arbitrary (not necessarily regular) Rees matrix semigroup over a group.
R. Gray
semanticscholar   +1 more source

SEMIGROUPS WITH INVERSE TRANSVERSALS AS MATRIX SEMIGROUPS

The Quarterly Journal of Mathematics, 1984
Let S be a regular semigroup. An inverse subsemigroup \(S^ 0\) of S is called an inverse transversal for S if \(S^ 0=S^ 0SS^ 0\) and each \(a\in S\) has a unique inverse \(a^ 0\in S^ 0\). We shall only speak about regular semigroups containing an inverse transversal. In a recent paper [ibid.
McAlister, D. B., McFadden, R. B.
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Integrated Semigroups and C-Semigroups and their Applications

Journal of Mathematical Sciences, 2018
The survey is devoted to recent advances in integrated semigroups and $C$-semigroups of operators in Banach space and their applications to the regularization of ill-posed problems. Typically all theorems, propositions, etc., are given with relevant references and without proofs. \par Chapter 1 concerns $n$-times integrated semigroups on Banach spaces.
Vasil'ev, V. V., Piskarev, S. I., Selivanova, N. Yu.   +2 more
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The greatest subgroup of a semigroup in Γ-semigroups

Lobachevskii Journal of Mathematics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Siripitukdet, M., Julatha, P.
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On d-semigroups, r-semigroups, dr-semigroups and their subclasses

Semigroup Forum, 2022
A \textit{d-semigroup} (resp. \textit{r-semigroup}) is a semigroup \((S,\cdot)\) with a unary operation \(x\mapsto x^+\) (resp. \(x\mapsto x^*\)) satisfying the identities \begin{align*} x^+\cdot x &= x,\ (x\cdot y)^+ = (x\cdot y^+)^+.\\ (\text{resp. }x\cdot x^* &= x,\ (y\cdot x)^* = (y^*\cdot x)^*.) \end{align*} \textit{dr-semigroups} are two-sided ...
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On Finite Semigroups Embeddable in Inverse Semigroups

Semigroup Forum, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Subgroups of the Power Semigroup of a Finite Semigroup

Canadian Journal of Mathematics, 1979
Throughout this paper, S will denote a finite semigroup and Z+ the set of positive integers. E = E(S) denotes the set of idempotents of S. Let . If , then let AB = {ab| a ∈ A, b ∈ B}. has been studied by many authors, including [2, 3, 5, 6, 7]. If X is a set, then |X| denotes the cardinality of X. For undefined terms in this paper, see [1,4].THEOREM 1.
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