On graded s-prime submodules

H Saber, T Alraqad, R Abu-Dawwas - arXiv preprint arXiv:2008.05529, 2020 - arxiv.org
In this article, we introduce the concepts of graded $ s $-prime submodules which is a
generalization of graded prime submodules. We study the behavior of this notion with …

[PDF][PDF] On graded classical prime and graded prime submodules

K Al-Zoubi, M Jaradat… - Bulletin of the iranian …, 2015 - bims.iranjournals.ir
‎ 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 several results concerning graded …

[PDF][PDF] Notes on the graded prime submodules

SE Atani, F Farzalipour - Int. Math. Forum, 2006 - m-hikari.com
Let G be a monoid with identity e, and let R be a G-graded commutative ring. Here we study
the graded prime submodules of a graded R-module. While the bulk of this work is devoted …

On graded quasi-prime submodules

K Al-Zoubi, R Abu-Dawwas - Kyungpook mathematical journal, 2015 - koreascience.kr
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-prime submodules and give …

[PDF][PDF] On graded semiprime submodules

F Farzalipour, P Ghiasvand - International Journal of Mathematical …, 2012 - academia.edu
Let G be an arbitrary group with identity e and let R be a G-graded ring. In this paper we
define graded semiprime submodules of a graded R-module M and we give a number of …

On graded classical primary submodules

K Al-Zoubi, M Al-Dolat - Advances in pure and applied mathematics, 2016 - degruyter.com
On graded classical primary submodules Page 1 Adv. Pure Appl. Math. ; ( ): – Research
Article Khaldoun Al-Zoubi* and Mohammed Al-Dolat On graded classical primary …

On generalizations of graded second submodules

M Refai, R Abu-Dawwas - Proyecciones (Antofagasta), 2020 - SciELO Chile
Let G be a group with identity e, R be a commutative G-graded ring with unity 1 and M be a
G-graded R-module. In this article, we introduce and study two generalizations of graded …

Graded semiprime submodules and graded semi-radical of graded submodules in graded modules

K Al-Zoubi, R Abu-Dawwas, I Al-Ayyoub - Ricerche di matematica, 2017 - Springer
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 several results concerning graded semiprime …

On graded second and coprimary modules and graded secondary representations

S Çeken, M Alkan - Bulletin of the Malaysian Mathematical Sciences …, 2015 - Springer
In this paper we introduce and study the concepts of graded second (gr-second) and graded
coprimary (gr-coprimary) modules which are different from second and coprimary modules …

On graded secondary modules

SE ATANI, F Farzalipour - Turkish journal of mathematics, 2007 - journals.tubitak.gov.tr
Let G be a group with identity e, and let R be a G-graded commutative ring. Here we study
the graded primary submodules of a G-graded R-module and examine when graded …