On Dual Rickart Modules

Abstract

Gangyong Lee, S. Tariq Rizvi, and Cosmin S. Roman studied Dual Rickart modules. The main purpose of this paper is to develop the properties Dual Rickart modules. We prove that a module M and indecomposable N if M is N-dual Rickart module, then either Hom(M, N) = 0 or every non zero R-homomorphism from M to N is a epimorphism. And we give various characterizations of some kind of rings in term of dual Rickart modules.