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arXiv · 2205.00882

On graded $S$-comultiplication modules

Mohammad Hamoda·Khaldoun Al-Zoubi
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Abstract

In this paper, we introduce the concept of graded $S$-comultiplication modules. Several results concerning graded $S$-comultiplication modules are proved. We show that $N$ is a graded $S$-second submodule of a graded $S$-comultiplication $R$-module $M$ if and only if $Ann_R(N)$ is a graded $S$-prime ideal of $R$ and there exists $x\in S$ such that $xN\subseteq\bar{x}N$ for every $\bar{x}\in S$.

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Mohammad Hamoda, Khaldoun Al-Zoubi. 2022-04-28. On graded $S$-comultiplication modules. https://doi.org/10.5269/bspm.63403

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