Homomorphisms And Isomorphisms Between Completely J*-simple Semigroups

Based on every completely J*-simple semigroup isomorphic to a normalized Rees matrix semigroup over a cancellative monoid, in which the sets I and A are non-empty, P=(P_λi) is a normalized sandwich matrix of A×I order, this paper discusses any homomorphic image between completely J* -simple semigroups and prove that every homomorphism is a good homomorphism from one completely J*-simple semigroups to another.And we obtain a way of construction for such homomorphisms between completely j* -simple semigroups. Finally we give a sufficient and necessary condition for isomorphisms between completely J* -simple semigroups.