Abstract
Let R be a commutative ring with identity, and M be a unital (left) R-module. In this paper we introduce and study the concepts: small prime submodules and small prime modules as generalizations of prime submodules and prime modules.Among the results that we obtain is the following:An R-module M is small prime if and only if the R-module R/annM is cogenerated by every non-trivial small submodule of M
The article was added to IASJ on 2013-02-14
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