Congruences on abundant semigroups associated with Green’s *-relations
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DOI: 10.1007/s10998-016-0163-y
Abstract: Good congruences are defined as congruences preserving $$\mathcal L^*$$L∗-classes and $$\mathcal R^*$$R∗-classes. In this paper the good congruences on abundant semigroups generated by Green’s $$*$$∗-relations are investigated. The related results for regular semigroups are enriched… read more here.
Keywords: semigroups associated; abundant semigroups; associated green; green relations ... See more keywords
Good congruences on abundant semigroups with quasi-ideal adequate transversals
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DOI: 10.1556/012.2019.56.3.1434
Abstract: The aim of this paper is to study the congruences on abundant semigroups with quasi-ideal adequate transversals. The good congruences on an abundant semigroup with a quasi-ideal adequate transversal S° are described by the equivalence… read more here.
Keywords: good congruences; abundant semigroups; ideal adequate; quasi ideal ... See more keywords
Abundant semigroups with weakly simplistic RGQA transversals
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DOI: 10.2298/fil2301155w
Abstract: As the real common generalisations of both orthodox transversals and adequate transversals in abundant semigroups, the concept of refined generalised quasi-adequate transversals, briefly, RGQA transversals was introduced by Kong and Wang. In this paper, for… read more here.
Keywords: weakly simplistic; rgqa; abundant semigroups; rgqa transversals ... See more keywords