Graded I-second submodules-Reference-Cited by-同舟云学术

Graded I-second submodules

Published:2021-01-01 Issue:1 Volume:54 Page:1-8
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Bataineh Malik¹,Abu-Dawwas Rashid²

Affiliation:

1. Department of Mathematics and Statistics, Jordan University of Science and Technology , Irbid , Jordan

2. Department of Mathematics, Yarmouk University , Irbid , Jordan

Abstract

Abstract Let G be a group with identity e, R be a G-graded commutative ring with a nonzero unity 1, I be a graded ideal of R, and M be a G-graded R-module. In this article, we introduce the concept of graded I-second submodules of M as a generalization of graded second submodules of M and achieve some relevant outcomes.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2021-0001/pdf

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4. R. Abu-Dawwas, K. Al-Zoubi and M. Bataineh, Prime submodules of graded modules, Proyecciones 31 (2012), no. 4, 355–361.

5. K. Al-Zoubi and R. Abu-Dawwas, On graded quasi-prime submodules, Kyungpook Math. J. 55 (2015), 259–266.

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