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

Autor: Al-Zoubi, Khaldoun, Al-Dolat, Mohammed
Rok vydání: 2020
Předmět:
Zdroj: Proyecciones (Vol. 40 No. 4 (2021))
Druh dokumentu: Working Paper
DOI: 10.22199/issn.0717-6279-3467
Popis: 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.
Databáze: arXiv