ON REGULAR WEAKLY-INJECTIVE RINGS

A module M is said to be weakly-injective exactly if every finitely generated submodule of its injectivehull E(M) is contained in a submodule X of E(M) isomorphic to M: A ring R is von Neumann regular ifa ۲ aRa for all a ۲ R: In this paper, different properties of weakly-injective rings with additional hypothesesare studied.