Nonzero Injective Covers of Modules

Abstract

We show that if R is a ring such that every nonzero left R-module has a nonzero injective cover, then R is left Artinian. The converse is not true. If R is commutative, then the properties are equivalent.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.35834/2001/1303163

Publication Date

2001

Journal Title

Missouri Journal of Mathematical Sciences

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