Results 51 to 60 of about 79 (68)

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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On left quasinormal orthodox semigroups

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1983
SynopsisThe existence of a smallest inverse congruence on an orthodox semigroup is known. It is also known that a regular semigroupSis locally inverse and orthodox if and only if there exists a local isomorphism fromSonto an inverse semigroupT.In this paper, we show the existence of a smallestR-unipotent congruence ρ on an orthodox semigroupSand give ...
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On bases of identities of finite central locally orthodox completely regular semigroups

Semigroup Forum, 2021
Jiří Kadourek
exaly  

\(\Gamma\)-orthodox semigroups

1994
Summary: The notion of \(\Gamma\)-semigroups was introduced by M. K. Sen and N. K. Saha in the year 1986, they also introduced the concept of orthodox \(\Gamma\)-semigroup in 1990. In this paper we introduce \(\Gamma\)-orthodox semigroups and \(\Gamma\)-regular semigroups and present some basic properties of these \(\Gamma\)-semigroups.
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The generalization of two basic results for orthodox semigroups

Semigroup Forum, 2014
Meng Fanwei, Xiangjun Kong
exaly  

Orthodox semigroups and permutation matchings

Semigroup Forum, 2016
Higgins Peter M
exaly  

Regular semigroups with weakly simplistic orthodox transversals

Semigroup Forum, 2018
Xiangjun Kong
exaly  

STANDARD REPRESENTATIONS OF ORTHODOX SEMIGROUPS

Communications in Algebra, 2005
K P Shum
exaly