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Bi-ideals in orthodox semigroups
, 1987 A bi-ideal of a semigroup S is a subsemigroup B with BSB\(\subseteq B\). The author investigates the relations between bi-ideals of an orthodox semigroup S and of its band E of idempotents. The main theorem states that for any bi-ideal E' of E, E'SE' is the unique bi-ideal of S with band E'.
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On orthodox semigroups determined by their bundles of correspondences
, 1992 S. M. Goberstein
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Idempotent-equivalent congruences on orthodox semigroups
Journal of the Australian Mathematical Society, 1970 J. Meakin
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On quasi-orthodox semigroups with inverse transversals
Proceedings of the Edinburgh Mathematical Society, 1997 T. Blyth, M. H. A. Santos
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Quasi-inverse semigroup congruences on an orthodox semigroup
Semigroup Forum, 1975 openaire +2 more sources
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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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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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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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