Proper Homomorphic Image Of Completely 0-simple Semigroups

Zhijie Jiang · Journal of Sichuan University of Science & Engineering · 2007

Abtract: This paper first gives a new characterization of proper congruences on a completely 0-simple semigroup with normal Rees matrix representation S = M0 [G;I,Λ;P].Then it proves that any proper homomorphic image of a completely 0-simple semigroup is also completely 0-simple and gives their Rees matrix constructions.

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