Results 11 to 20 of about 118 (102)
Weakly Classical Prime Submodules [PDF]
Kyungpook mathematical journal, 2016 14 pages.
Mostafanasab, Hojjat +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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Extracta Mathematicae, 2020 If M is a torsion-free module over an integral domain, then we show that for each submodule N of M the envelope EM (N ) of N in M is an essential extension of N. In particular, if N is divisible then EM (N ) = N .
S.C. Lee, R. Varmazyar
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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 +5 more
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, 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
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Weakly Nearly Prime Submodules
Ibn AL- Haitham Journal For Pure and Applied Sciences, 2021 In this article, unless otherwise established, all rings are commutative with identity and all modules are unitary left R-module. We offer this concept of WN-prime as new generalization of weakly prime submodules. Some basic properties of weakly nearly prime submodules are given. Many characterizations, examples of this concept are stablished.
Ali Sabah Sadiaq, Haibat K. Mohammadali
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Weakly Semi-2-Absorbing Submodules By [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2019 In this paper we introduce and study the concept weakly semi-2-absorbing submodule as a generalization of 2-absorbing subomdule, and give some of it is basic properties and characterization of this ...
Habit K. Mohammadali, Khalaf H. Alhabeeb
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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
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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
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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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