Open Accesss‐pure submodules
Author(s) -
Iuliu Crivei
Publication year - 2005
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms.2005.491
Subject(s) - monomorphism , mathematics , idempotence , homomorphism , ideal (ethics) , simple (philosophy) , commutative ring , pure mathematics , commutative property , flat module , combinatorics , discrete mathematics , injective module , injective function , philosophy , epistemology
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
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