HOMOMORPHISMS AND CONGRUENCES OF TWO KINDS OF COMPLETELY REGULAR SEMIGROUPS

Guoxin Liu · Journal of Mathematics · 2007

In this paper, we give some study of the homomorphisms of crytogroups and the idempotent-separating congruences on orthogroups.We first define a kind of functions between the different semilattices of the cryptogroups.By the homomorphisms of the semilattice and completely simple semigroup, the functions have defined, we give a characterization of the homomorphisms of cryptogroups. Then we study the idempotent-separating congruences on the orthogroups with group kernel normal systems and give it a simple representation.

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