GENERALIZATIONS OF INJECTIVE MODULES

Authors : Esperanza Sánchez Campos, Patrick F Smith
Pages : 96-110
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Publication Date : 2012-06-01
Article Type : Research Paper
Abstract :Let R be a ring with identity. Given a positive integer n, a unitary right R-module X is called n–injective provided, for every n-generated right ideal A of R, every R-homomorphism φ : A → X can be lifted to R. In this note we investigate this and related injectivity conditions and show that there are many rings R which have an n–injective module which is not insert ignore into journalissuearticles values(n+1);– injective.
Keywords : injective module, semihereditary ring

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