Results 51 to 60 of about 89 (75)

Weakly $$B$$ B -orthodox semigroups

Periodica Mathematica Hungarica, 2014
In 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.
exaly   +3 more sources

On orthodox P-restriction semigroups

Journal of Algebra and Its Applications, 2021
The 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, 2001
Orthodox 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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Isbell’s Zigzag theorem for permutative orthodox semigroups and clifford semigroups

Asian-European Journal of Mathematics, 2021
In 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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Erratum to “On lattice isomorphisms of orthodox semigroups”

Acta Scientiarum Mathematicarum, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Congruences on orthodox semigroups II

Journal of the Australian Mathematical Society, 1972
If ρ is a congruence on a regular semigroup S, then the kernel of ρ is defined to be the set of ρ-classes which contain idempotents of S. Preston [7] has proved that two congruences on a regular semigroup coincide if and only if they have the same kernel: this naturally poses the problem of characterizing the kernel of a congruence on a regular ...
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ON E-UNITARY COVERS OF ORTHODOX SEMIGROUPS

International Journal of Algebra and Computation, 1993
In this paper we prove that each orthodox semigroup S has an E-unitary cover embeddable into a semidirect product of a band B by a group where B belongs to the band variety generated by the band of idempotents in S. This result is related to an embeddability question on E-unitary regular semigroups raised previously.
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Semiprimitivity of Orthodox Semigroup Algebras

Communications in Algebra, 2016
Let 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 ...
Yingdan Ji, Yanfeng Luo
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STRONGLY ORTHODOX CONGRUENCES ON AN -INVERSIVE SEMIGROUP

Journal of the Australian Mathematical Society, 2013
AbstractIn this paper we investigate some subclasses of strongly regular congruences on an$E$-inversive semigroup$S$. We describe the minimum and the maximum strongly orthodox congruences on$S$whose characteristic trace coincides with the characteristic trace of given congruences and, in each case, we present an alternative characterization for them. A
Fan, Xingkui, Chen, Qianhua
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On Some Existence Varieties of Locally Orthodox Semigroups

International Journal of Algebra and Computation, 1997
The main objective of the paper is to study existence varieties generated by Mal'cev products of the form \({\mathcal P}({\mathcal Y})\circ{\mathcal Q}\) where \(\mathcal Q\) is an (e-)variety of completely simple semigroups not consisting entirely of rectangular groups and \(\mathcal P(\mathcal Y)\) is the (e-)variety of bands all of whose monoids ...
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