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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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Semigroup Forum, 2010
A regularity condition on a ternary semigroup is introduced and some properties of regular ternary semigroups are investigated. A semigroup called cover of a ternary semigroup is constructed and some of its properties are studied.
Santiago, M. L., Sri Bala, S.
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A regularity condition on a ternary semigroup is introduced and some properties of regular ternary semigroups are investigated. A semigroup called cover of a ternary semigroup is constructed and some of its properties are studied.
Santiago, M. L., Sri Bala, S.
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Semigroup Forum, 2011
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Semigroup Forum, 2009
A semigroup algebra \(kS\) admits a total ordering if and only if the field \(k\) is formally real and \(S\) is a cancellative orderable semigroup. The case of \(*\)-orderability of \(kS\) is much harder. The notion of a \(*\)-ordering has been extended from division rings to general noncommutative rings in a series of papers by \textit{M.
Klep, Igor, Moravec, Primož
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A semigroup algebra \(kS\) admits a total ordering if and only if the field \(k\) is formally real and \(S\) is a cancellative orderable semigroup. The case of \(*\)-orderability of \(kS\) is much harder. The notion of a \(*\)-ordering has been extended from division rings to general noncommutative rings in a series of papers by \textit{M.
Klep, Igor, Moravec, Primož
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On ordered $��$-semigroups ($��$-semigroups)
2014We 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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