2008•Modern Applied ScienceOpen access

P-completely Regular Semigroup

Xiujuan Pan

Abstract

In order to prove a completely regular semigroup with the strong semilattice structure is -completely regular semigroup. Using the strong semilatice structure and the property of congruence. The sufficient condition of which a completely regular semigroup is -completely regular semigroup is have the strong semilattice structure, and The subclass of the completely regular semigroup is -completely regular semigroup.

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Key concepts: Semilattice, Semigroup, Mathematics, Cancellative semigroup, Congruence (geometry), Bicyclic semigroup, Property (philosophy), Pure mathematics