Results 51 to 60 of about 93 (82)
Semigroup Forum, 1979 Some of the next articles are maybe not open access.
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Science in China Series A: Mathematics, 2009
Let \(S\) be a semigroup with the set of idempotents \(E(S)\). For \(a\in S\) and a non-empty subset \(U\subseteq E(S)\) denote \(U_a^r=\{u\in U\mid au=a\}\) and define relation \(\widetilde{\mathcal L}^U\) by \(a\widetilde{\mathcal L}^Ub\Leftrightarrow U_a^r=U_b^r \); definition of \(\widetilde{\mathcal R}^U\) is dual.
Xueming Ren, Kar Ping Shum
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Let \(S\) be a semigroup with the set of idempotents \(E(S)\). For \(a\in S\) and a non-empty subset \(U\subseteq E(S)\) denote \(U_a^r=\{u\in U\mid au=a\}\) and define relation \(\widetilde{\mathcal L}^U\) by \(a\widetilde{\mathcal L}^Ub\Leftrightarrow U_a^r=U_b^r \); definition of \(\widetilde{\mathcal R}^U\) is dual.
Xueming Ren, Kar Ping Shum
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Semiprimitivity of Orthodox Semigroup Algebras
Communications in Algebra, 2016Let S be a finite orthodox semigroup or an orthodox semigroup where the idempotent band E(S) is locally pseudofinite. In this paper, by using principal factors and Rukolaǐne idempotents, we show that the contracted semigroup algebra R0[S] is semiprimitive if and only if S is an inverse semigroup and R[G] is semiprimitive for each maximal subgroup G of ...
Yanfeng Luo
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On orthodox P-restriction semigroups
Journal of Algebra and Its Applications, 2021The investigation of orthodox [Formula: see text]-restriction semigroups was initiated by Jones in 2014 as generalizations of orthodox [Formula: see text]-semigroups. The aim of this paper is to further study orthodox [Formula: see text]-restriction semigroups based on the known results of Jones. After establishing a construction theorem for orthodox [
Wang, Shoufeng, Shum, K. P.
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ORTHODOX TRANSVERSALS OF REGULAR SEMIGROUPS
International Journal of Algebra and Computation, 2001Orthodox transversals were introduced by the first author as a generalization of inverse transversals [Comm. Algebra 27(9) (1999), pp. 4275–4288]. One of our aims in this note is to consider the general case of orthodox transversals. The main results are on the sets I and Λ, two components of regular semigroups with orthodox transversals.
J. F. Chen, Y. Q. Cuo
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Formations of orthodox semigroups
Semigroup Forum, 2023A semigroup \(S\) is said to be \textit{regular} if for each \(a\in S\) there is \(b\in S\) with \(aba = a\). An \textit{orthodox semigroup} is a regular semigroup whose set of idempotents is a subsemigroup. A class of orthodox semigroups is called a \textit{bivariety} if it is closed for orthodox subsemigroups, for quotients, and for direct products ...
Gomes, Gracinda M. S. +1 more
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Isbell’s Zigzag theorem for permutative orthodox semigroups and clifford semigroups
Asian-European Journal of Mathematics, 2021In this paper, we prove that the dominion of any full orthodox subsemigroup of a medial orthodox semigroup is described by the Isbell zigzag theorem in the category of medial orthodox semigroups. As a consequence, the dominions of any full completely regular subsemigroup of a medial completely regular semigroup as well as that of any full Clifford ...
Noor Alam, Noor Mohammad Khan
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Weakly $$B$$ B -orthodox semigroups
Periodica Mathematica Hungarica, 2014In the introduction the author has written that ``the article [J. Algebra 368, 209-230 (2012; Zbl 1275.20067)] by \textit{V. Gould} and \textit{Y. Wang} is the first of three in which we investigate the correspondence between algebraic structures and ordered categories, in the sense of Ehresmann-Schein-Nambooripad\dots.
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Erratum to “On lattice isomorphisms of orthodox semigroups”
Acta Scientiarum Mathematicarum, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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