n-submodules

Authors

  • J. Moghaderi Department of Mathematics, University of Hormozgan, Bandar Abbas, Hormozgan, Iran
  • M. Ahmadi Department of Mathematics, University of Hormozgan, Bandar Abbas, Hormozgan, Iran
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.

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Journal title

volume 17  issue 1

pages  177- 190

publication date 2022-04

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