Graded semiprime multiplication modules-Reference-Cited by-同舟云学术

Graded semiprime multiplication modules

Published:2021-01-01 Issue:3 Volume:39 Page:27-35
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:en
Short-container-title:bspm

Author:

Abu-Dawwas Rashid¹^ORCID

Affiliation:

1. Yarmouk University

Abstract

Let $M$ be a $G$-graded $R$-module. In this article, we introduce the concept of graded semiprime multiplication modules. A graded $R$-module $M$ is said to be graded semiprime multiplication if $M$ has no graded semiprime $R$-submodules or for every graded semiprime $R$-submodule $N$ of $M$, $N=IM$ for some graded ideal $I$ of $R$. We introduce several results concerning graded semiprime submodules and we investigate them to present several results on graded semiprime multiplication modules.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference16 articles.

1. 1. R. Abu-Dawwas, Multiplication Components of graded modules, Italian Journal of Pure and Applied Mathematics, 35 (2015), 389-392.

2. 2. R. Abu-Dawwas, K. Al-Zoubi and M. Bataineh, Prime submodules of graded modules, Proyecciones Journal of Mathematics, 31 (4) (2012), 355-361.

3. 3. R. Abu-Dawwas and M. Refai, Further results on graded prime submodules, International Journal of Algebra, 4 (28) (2010), 1413-1419.

4. 4. R. Abu-Dawwas and M. Refai, Some remarks on graded weak multiplication modules, Journal of Contemporary Mathematical Sciences, 6 (14) (2011), 681-686.

5. 5. R. Abu-Dawwas and M. Refai, Some remarks on Re-multiplication modules over first strongly graded rings, East-West Journal of Mathematics, 13 (1) (2011), 57-61.

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