Classification of orthogroups as semilattices of various rectangular groups fulfilling x^(p+1)≈x

Abstract

Completely regular semigroups whose idempotents form a subsemigroup are called orthodox completely regular semigroups, or brie y orthogroups. In this paper, we characterize orthogroups which are semilattices of various rectangular groups ful lling xp+1 x for a xed prime number p by disjunctions of identities.