s -pure submodules

Iuliu Crivei

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-7

Abstract:

A submodule A of a right R -module B is called s -pure if f ⊗ R 1 S 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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:490803

DOI: 10.1155/IJMMS.2005.491

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