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Congruences on abundant semigroups associated with Green’s *-relations

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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… Click to show full 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 and extended.

Keywords: semigroups associated; abundant semigroups; associated green; green relations; congruences abundant

Journal Title: Periodica Mathematica Hungarica
Year Published: 2017

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