THE KERNAL-TRACE APPORACH TO CONGRUENCES ON COMPLETELY SIMPLE SEMIGROUPS

Wang Li-min · Journal of South China Normal University · 2007

Completely simple semigroups can be represented as Rees matrix semigroup M(G,I,Λ;P).Two sets E,F are defined in this paper,and then congruences on this kind of semigroups are presented by the so called congruence triples abstractly which consist of congruences on E,F respectively and the normal sub-group of group G.The maximal and minimal of T-classes and K-classes are also represented.

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