Abstract
Let $G$ be a group with identity $e$, $R$ be a $G$-graded ring and $M$ be a $G$-graded $R$-module. In this article, we introduce the concept of graded weak comultiplication modules. A graded $R$-module $M$ is said to be graded weak comultiplication if for every graded prime $R$-submodule $N$ of $M$, $N=(0:_{M}I)$ for some graded ideal $I$ of $R$. We study graded weak comultiplication modules and give several results.
Citation
Rashid ABU-DAWWAS. Malik BATAINEH. Adeela DA'KEEK. "Graded weak comultiplication modules." Hokkaido Math. J. 48 (2) 253 - 261, June 2019. https://doi.org/10.14492/hokmj/1562810507
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