On graded $S$-comultiplication modules
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866909208284233728 |
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| author | Hamoda, Mohammad Al-Zoubi, Khaldoun |
| author_facet | Hamoda, Mohammad Al-Zoubi, Khaldoun |
| contents | 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 $\bar{x}\in S$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_00882 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On graded $S$-comultiplication modules Hamoda, Mohammad Al-Zoubi, Khaldoun General Mathematics 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 $\bar{x}\in S$. |
| title | On graded $S$-comultiplication modules |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2205.00882 |