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Small Prime Modules and Small Prime Submodules | ||
| Journal of Al-Nahrain University - Science | ||
| Article 1, Volume 15, Issue 4, 2012, Pages 191-199 | ||
| Author | ||
| Layla S.Mahmood | ||
| 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 | ||
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