A Type of Idempotent-separating Extensions of Inverse Semigroups
LI Yonghua, He Yong · Advances in Mathematics · 2009
In this paper,we describe a type of idempotent-separating extensions of inverse semigroups.We first establish the Y-product of a Clifford semigroup by a fundamental inverse semigroup.And then we prove that every the Y-product is an inverse semigroup and every inverse semigroup is isomorphic to a Y-product.