Semigroup - Open Access .click

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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Metrized Semigroups

Journal of Mathematical Sciences, 2004
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Berestovskii, V. N., Gichev, V. M.
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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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general structure theory for semigroups
inverse semigroups
algebra and number theory

semigroup rings
idempotents
ideal theory for semigroups

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fos: mathematics