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NS-Primary Submodules | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 58, Issue 1, 2018, Pages 404-407 | ||
| Author | ||
| Iman A. Athab | ||
| Abstract | ||
| Let R be a commutative ring with identity and let Mbe a unitary R-module. We shall say that a proper submodule N of M is nearly S-primary (for short NS-primary), if wheneverf∈S=End(M), x∈M, with f(x)∈N implies that either x∈N+J(M) or there exists a positive integer n, such that f^n (M)⊆N+J(M), where J(M) is the Jacobson radical of M. In this paper we give some new results of NS-primary submodule. Moreover some characterizations of these classes of submodules are obtained | ||
| Keywords | ||
| nearly S; primary; nearly primary submodule; primary submodule | ||
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