Results 21 to 30 of about 543 (107)
Invariant semigroups of orthodox semigroups
Semigroup Forum, 1996 The paper is a continuation of a previous one of these authors [J. Algebra 169, No. 1, 49-70 (1994; Zbl 0811.06015)]. An inverse transversal of a regular semigroup \(S\) is an inverse subsemigroup \(T\) with the property that, for every \(x\in S\), \(T\) contains one and only one inverse element \(x^0\) of \(x\) in \(S\).
Blyth, T.S., Almeida-Santos, M.H.
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Flows on Classes of Regular Semigroups and Cauchy Categories
Journal of Mathematics, Volume 2019, Issue 1, 2019., 2019 We consider the structure of the flow monoid for some classes of regular semigroups (which are special case of flows on categories) and for Cauchy categories. In detail, we characterize flows for Rees matrix semigroups, rectangular bands, and full transformation semigroups and also describe the Cauchy categories for some classes of regular semigroups ...
Suha Ahmed Wazzan, Radomír Halaš
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Characterizations of N(2,2, 0) Algebras
Algebra, Volume 2016, Issue 1, 2016., 2016 The so‐called ideal and subalgebra and some additional concepts of N(2, 2, 0) algebras are discussed. A partial order and congruence relations on N(2, 2, 0) algebras are also proposed, and some properties are investigated.
Fang-an Deng +4 more
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Embedding in a Finite 2-Generator Semigroup [PDF]
, 2017 We augment the body of existing results on embedding finite semigroups of a certain type into 2-generator finite semigroups of the same type. The approach adopted applies to finite semigroups the idempotents of which form a band and also to finite ...
Higgins +7 more
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On generalized Ehresmann semigroups
Open Mathematics, 2017 As a generalization of the class of inverse semigroups, the class of Ehresmann semigroups is introduced by Lawson and investigated by many authors extensively in the literature.
Wang Shoufeng
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Elementary orthodox semigroups
Semigroup Forum, 1984 A semigroup is said to be elementary if it is generated by a subset \(A\cup B\) where \(aba=a\) and \(bab=b\) for all \(a\in A\), \(b\in B\). The authors extend their earlier work [Semigroup Forum 15, 295-309 (1978; Zbl 0403.20040)], in which free elementary orthodox semigroups were defined and their existence established, by studying the free ...
Williams, W., Eberhart, Carl
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International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 8, Page 459-466, 2002., 2002 Let R be a ring. The circle operation is the operation a∘b = a + b − ab, for all a, b ∈ R. This operation gives rise to a semigroup called the adjoint semigroup or circle semigroup of R. We investigate rings in which the adjoint semigroup is regular. Examples are given which illustrate and delimit the theory developed.
Henry E. Heatherly, Ralph P. Tucci
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Special subgroups of regular semigroups [PDF]
, 2016 This work was partially supported by the Portuguese Foundation for Science and Technology through the grant UID/MAT/00297/2013 (CMA).Extending the notions of inverse transversal and associate subgroup, we consider a regular semigroup S with the property ...
Almeida Santos, M. H., Blyth, T. S.
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Γ‐group congruences on regular Γ‐semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 1, Page 103-106, 1992., 1990 In this paper a Γ‐group congruence on a regular Γ‐semigroup is defined, some equivalent expressions for any Γ‐group congruence on a regular Γ‐semigroup and those for the least Γ‐group congruence in particular are given.
A. Seth
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The product of quasi-ideal refined generalised quasi-adequate transversals
Open Mathematics, 2019 As the real common generalisations of both orthodox transversals and adequate transversals in the abundant case, the concept of refined generalised quasi-adequate transversal, for short, RGQA transversal was introduced by Kong and Wang. In this paper, an
Kong Xiangjun, Wang Pei, Wu Yonghong
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