Results 191 to 200 of about 24,881 (221)
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SEMIGROUPS WITH INVERSE TRANSVERSALS AS MATRIX SEMIGROUPS
The Quarterly Journal of Mathematics, 1984Let 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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Semigroup algebras of finite ample semigroups
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2012An adequate semigroup S is called ample if ea = a(ea)* and ae = (ae)†a for all a ∈ S and e ∈ E(S). Inverse semigroups are exactly those ample semigroups that are regular. After obtaining some characterizations of finite ample semigroups, it is proved that semigroup algebras of finite ample semigroups have generalized triangular matrix representations ...
Guo, Xiaojiang, Chen, Lin
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Generalized Bicyclic Semigroups and Jones Semigroups
Southeast Asian Bulletin of Mathematics, 2001A 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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Integrated Semigroups and C-Semigroups and their Applications
Journal of Mathematical Sciences, 2018The 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. +2 more
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The greatest subgroup of a semigroup in Γ-semigroups
Lobachevskii Journal of Mathematics, 2012zbMATH 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, 2022A \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, 2001zbMATH 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, 1979Throughout 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, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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