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Group Structures and Derivations on  <i>PMS</i>-algebras. [PDF]

open access: yesF1000Res
Melese Kassahun N   +3 more
europepmc   +1 more source

The numerical duplication of a numerical semigroup

open access: yesSemigroup Forum, 2012
In this paper we present and study the numerical duplication of a numerical semigroup, a construction that, starting with a numerical semigroup $S$ and a semigroup ideal $E\subseteq S$, produces a new numerical semigroup, denoted by $S\Join^b\E$ (where ...
Francesco Strazzanti
exaly   +3 more sources
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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 ...
openaire   +2 more sources

Metrized Semigroups

Journal of Mathematical Sciences, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berestovskii, V. N., Gichev, V. M.
openaire   +2 more sources

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
openaire   +1 more source

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
openaire   +3 more sources

Ternary semigroups

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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Canonical semigroups

Semigroup Forum, 2011
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