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arXiv · 2505.09448

Some graphs related to submodules of a module

Faranak Farshadifar
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Abstract

Let R be a commutative ring with identity and M be an R-module. In this paper, we introduce and investigate the second submodule intersection graph SSI(M) of M with vertices are nonzero proper submodules of M and two distinct vertices N and K are adjacent if and only if is a second submodule of M. Also, we introduce and consider the prime submodule sum graph PSS(M) of M with vertices are non-zero proper submodules of M and two distinct vertices N and K are adjacent if and only if N + K is a prime submodule of M.

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Faranak Farshadifar. 2025-05-14. Some graphs related to submodules of a module. https://arxiv.org/abs/2505.09448

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