F-Covers for Right Type-A Semigroups

摘要

A right adequate semigroup of type F is defined as a right adequate semigroup which is an F-rpp semigroup.A right adequate semigroup T of type F is called an F-cover for a right type-A semigroup S if S is the image of T under an L*-homomorphism.In this paper,we will prove that any right type-A monoid has F-covers and then establish the structure of F-covers for a given right type-A monoid.Our results extend and enrich the related results for inverse semigroups.