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arXiv · 2008.06889

On graded primary-like submodules of graded modules over graded commutative rings

Khaldoun Al-Zoubi·Mohammed Al-Dolat
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Abstract

Let $G$ be a group with identity $e$. Let $R$ be a $G$-graded commutative ring and $M$ a graded $R$-module. In this paper, we introduce the concept of graded primary-like submodules as a new generalization of graded primary ideals and give some basic results about graded primary-like submodules of graded modules. Special attention has been paid, when graded submodules satisfies the gr-primeful property, to find extra properties of these graded submodules.

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Khaldoun Al-Zoubi, Mohammed Al-Dolat. 2020-08-16. On graded primary-like submodules of graded modules over graded commutative rings. https://doi.org/10.22199/issn.0717-6279-3467

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