Volume 17, Issue 1 (4-2022)                   IJMSI 2022, 17(1): 177-190 | Back to browse issues page


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Ahmadi M, Moghaderi J. n-submodules. IJMSI. 2022; 17 (1) :177-190
URL: http://ijmsi.ir/article-1-1393-en.html
Abstract:  
Let $R$ be a commutative ring with identity. A proper submodule $N$ of an $R$-module $M$ is an n-submodule if $rmin N~(rin R, min M)$ with $rnotinsqrt{Ann_R(M)}$, then $min N$. A number of results concerning n-submodules are given. For example, we give other characterizations of n-submodules. Also various properties of n-submodules are considered.
Keywords: n-ideal, n-submodule.
Type of Study: Research paper | Subject: Special

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