Results 251 to 260 of about 143,321 (277)

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 greatest subgroup of a semigroup in Γ-semigroups

Lobachevskii Journal of Mathematics, 2012
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Siripitukdet, M., Julatha, P.
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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 universal semigroup of a $��$-semigroup

2013
Given a $ $-semigroup $S$, we construct a semigroup $ $ in such a way that one sided ideals and quasi-ideals of $S$ can be regarded as one sided ideals and quasi-ideals respectively of $ $. This correspondence and other properties of $ $, allow us to obtain several results for $S$ without having the need to work directly with it, but solely ...
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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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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 ordered $��$-semigroups ($��$-semigroups)

2014
We add here some further characterizations to the characterizations of strongly regular ordered $ $-semigroups already considered in Hacettepe J. Math. 42 (2013), 559--567. Our results generalize the characterizations of strongly regular ordered semigroups given in the Theorem in Math. Japon.
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On Finite Semigroups Embeddable in Inverse Semigroups

Semigroup Forum, 2001
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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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C-semigroups and strongly continuous semigroups

Israel Journal of Mathematics, 1993
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