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EMBEDDING SEMIGROUPS INTO GROUPS, AND THE ASPHERICITY OF SEMIGROUPS

International Journal of Algebra and Computation, 1993
Let \(G = [X,E]\) be a simple graph with vertex set \(X\) and edge set \(E\). For each edge \(e = \{x,y\}\), \(x,y\in X\), suppose we have a non-cancelled semigroup relation \(R_ e: R^{(\ell)}_ e = R^{(r)}_ e\), where \(R^{(\ell)}_ e\), \(R^{(r)}_ e\) are words on \(\{x,y\}\), both involving \(x\), \(y\). Theorem.
Jung R. Cho, Stephen J. Pride
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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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Semigroup algebras of finite ample semigroups

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2012
An 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, 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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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.   +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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