On graded quasi-primary submodules of graded modules over graded commutative rings-Reference-Cited by-同舟云学术

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

Published:2021-01-01 Issue:4 Volume:39 Page:57-64
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:en
Short-container-title:bspm

Author:

Al-Zoubi Khaldoun falah¹^ORCID,Alkhalaf Rweili¹

Affiliation:

1. Jordan University of Science and Technology

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 quasi-primary submodules of graded modules over graded commutative rings. Various properties of graded quasi-primary submodules are considered.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference24 articles.

1. Al-Zoubi, K., The graded primary radical of a graded submodules, An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N.S.), 1, 395-402, ( 2016).

2. Al-Zoubi, K., Abu-Dawwas, R. and Al-Ayyoub, I., Graded semiprime submodules and graded semi-radical of graded submodules in graded modules, Ricerche mat., 66(2), 449-455, (2017).

3. Al-Zoubi, K. and Al-Dolat, M., On graded classical primary submodules, Adv. Pure Appl. Math., 7 (2), 93-96, ( 2016).

4. Al-Zoubi, K. and Al-Dolat, M., On graded primary-like submodules of graded modules over graded commutative rings, submitted.

5. Al-Zoubi, K., Jaradat, M. and Abu-Dawwas, R., On graded classical prime and graded prime submodules, Bull. Iranian Math. Soc., 41 (1), 217-225, (2015).

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