2008•Unpublished venueRequires access

P-completely regular semigroup

Yong Shao

Abstract

A completely regular semigroup with the strong semilattice structure is proved to be P-completely regular semigroup.By using the strong semilatice structure and the property of congruence.The sufficient condition of which a completely regular semigroup is P-completely regular semigroup is having the strong semi-lattice structure,and the subclass NBG of the completely regular semigroup is P-completely regular semigroup.

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