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$J$-compatible orthodox semigroups
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Congruences on orthodox semigroups [PDF]
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Orthodox Semigroups and E-unitary Regular Semigroups
identifier:http://webcatplus-equal.nii.ac.jp/libportal/DocDetail?txt_docid=NCID ...
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Bi-ideals in orthodox semigroups
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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Quasi-inverse semigroup congruences on an orthodox semigroup
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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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