Results 21 to 30 of about 93 (82)
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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The isomorphism problem for orthodox semigroups [PDF]
Pacific Journal of Mathematics, 1989 The author's structure theorem for orthodox semigroups [ibid. 39, 677-686 (1971; Zbl 0232.20124)] produced an orthodox semigroup \({\mathcal H}(E,T,\psi)\) from a band \(E\), an inverse semigroup \(T\) and a morphism \(\psi\) between two inverse semigroups, namely \(T\) and \(W_ E/\gamma\), an inverse semigroup constructed from \(E\).
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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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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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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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Amenable Orders on Orthodox Semigroups
Journal of Algebra, 1994 From the authors' introduction. ``Let \(S\) be a semigroup. An inverse transversal of a regular semigroup \(S\) is an inverse subsemigroup \(T\) with the property \(| T\cap V(x)|=1\) for every \(x\in S\), where \(V(x)\) denotes the set of inverses of \(x\in S\). We write the unique element of \(T\cap V(x)\) as \(x^ 0\), and \(T\) as \(S^ 0= \{x^ 0\): \(
Blyth, T.S., Santos, M.H.A.
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On quasi-F-orthodox semigroups [PDF]
Proceedings of the Edinburgh Mathematical Society, 1995 An orthodox semigroup S is termed quasi-F-orthodox if the greatest inverse semigroup homomorphic image of S1 is F-inverse. In this paper we show that each quasi-F-orthodox semigroup is embeddable into a semidirect product of a band by a group. Furthermore, we present a subclass in the class of quasi-F-orthodox semigroups whose members S are embeddable ...
Billhardt, Bernd, Szendrei, Mária B.
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N5 as a Subalgebra of a Principally Ordered Naturally Ordered Regular Semigroup with a Zero Element
Sultan Qaboos University Journal for ScienceWe start with a basic and technical result: If S is a principally ordered regular semigroup that has a zero element, 0, then 0* is the biggest element (in fact, idempotent) of S.
G.A. Pinto
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On the diameter of semigroups of transformations and partitions
Journal of the London Mathematical Society, Volume 110, Issue 1, July 2024.Abstract For a semigroup S$S$ whose universal right congruence is finitely generated (or, equivalently, a semigroup satisfying the homological finiteness property of being type right‐FP1$FP_1$), the right diameter of S$S$ is a parameter that expresses how ‘far apart’ elements of S$S$ can be from each other, in a certain sense.
James East +4 more
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On lattice isomorphisms of orthodox semigroups [PDF]
Acta Scientiarum Mathematicarum, 2021 11 ...
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