On idempotent - semiprime rings

Abstract

A ring R is called idempotent-semiprime (briefly, idem-semiprime) if for any a ϵ R, aea = 0 for all idempolent e ϵ I (R), impties a = 0, The class of idem-semiprime rings is a proper subclass of semiprime rings. This new class includes domains, reduced rings, and Von Neumann regular rings. In this article, we Investigate the usual ring theoretic constructions of idempotent-semiprime rings.