Results 11 to 20 of about 141 (119)

Weakly Classical Prime Submodules [PDF]

Kyungpook mathematical journal, 2016
14 pages.
Mostafanasab, Hojjat, Tekir, Unsal, Oral, Kursat Hakan   +2 more
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CHARACTERIZATION OF WEAKLY PRIME SUBMODULE

Journal of Fundamental Mathematics and Applications (JFMA), 2021
Let R is a commutative ring with identity and M is a unital R-module. El-bast and Smith (1988) have researched and introduced the multiplication module. Prime submodule has been studied by Ameri (2002). Then Atani and Farzalipour (2007) have extended the prime submodule to weakly prime submodule. Some properties were proved on each paper.
Puspa Nur Afifah, Irawati Irawati
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Graded pseudo weakly prime spectrum of graded topological modules [PDF]

Applied General Topology
In this study, we introduce graded pseudo weakly prime submodules of G-graded R-modules, which are an extension of graded weakly prime ideals over G-graded rings. On the graded spectrum of graded pseudo weakly prime submodules, we investigate the Zariski
Tamem Al-Shorman, Malik Bataineh, Melis Bolat, Bayram Ali Ersoy   +3 more
doaj   +2 more sources

2-absorbing and $n$-weakly prime submodules [PDF]

Miskolc Mathematical Notes, 2012
Azizi, A., Moradi, S.
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On weakly S-prime submodules

, 2021
Let $R$ be a commutative ring with a non-zero identity, $S$ be a multiplicatively closed subset of $R$ and $M$ be a unital $R$-module. In this paper, we define a submodule $N$ of $M$ with $(N:_{R}M)\cap S=ϕ$ to be weakly $S$-prime if there exists $s\in S$ such that whenever $a\in R$ and $m\in M$ with $0\neq am\in N$, then either $sa\in(N:_{R}M)$ or $sm\
Khashan, Hani A., Celikel, Ece Yetkin
openaire   +3 more sources

On weakly 1 -absorbing primary submodules

, 2022
In this paper, we introduce weakly 1-absorbing primary submodules of modules over commutative rings. Let R be a commutative ring with a nonzero identity and M be a nonzero unital module.
Koç, Suat, Çelikel, Ece Yetkin, Yetkin-Çelikel, Ece, Yıldız, Eda, YILDIZ YILMAZ, Eda, Tekir, Ünsal   +5 more
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Graded I-second submodules

Demonstratio Mathematica, 2021
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 ...
Bataineh Malik, Abu-Dawwas Rashid
doaj   +1 more source

Zariski topology on the spectrum of fuzzy classical primary submodules [PDF]

, 2022
[EN] Let R be a commutative ring with identity and M a unitary R-module. The fuzzy classical primary spectrum F cp.spec(M) is the collection of all fuzzy classical primary submodules A of M, the recent generalization of fuzzy primary ideals and fuzzy ...
Panpho, Phakakorn, Yiarayong, Pairote
core   +1 more source

WE-Prime Submodules and WE-Semi-Prime Submodules

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2018
"In this article, "we introduce the concept of a WE-Prime submodule", as a stronger form of a weakly prime submodule". "And as a "generalization of WE-Prime submodule", we introduce the concept of WE-Semi-Prime submodule, which is also a stronger form of
Saif A. Hussin, Haibt K. Mohammadali
doaj   +1 more source

WEAKLY PRIME SUBMODULES AND PRIME SUBMODULES [PDF]

Glasgow Mathematical Journal, 2006
A proper submodule N of an R-module M is called a weakly prime submodule, if for each submodule K of M and elements a, b of R, abK ⊆ N, implies that aK ⊆ N or bK ⊆ N. In this paper we will study weakly prime submodules and we shall compare weakly prime submodules with prime submodules.
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