%0 Journal Article
%T -pure submodules
%A Iuliu Crivei
%J International Journal of Mathematics and Mathematical Sciences
%D 2005
%I Hindawi Publishing Corporation
%R 10.1155/ijmms.2005.491
%X A submodule A of a right R-module B is called s-pure if f⊗R1S is a monomorphism for every simple left R-module S, where f:A→B is the inclusion homomorphism. We establish some properties of s-pure submodules and use s-purity to characterize commutative rings with every maximal ideal idempotent.
%U http://www.hindawi.com/journals/ijmms/2005/490803/abs/