Results 11 to 20 of about 584 (193)
SOME RESULTS ON STRONGLY PRIME SUBMODULES [PDF]
Journal of Algebraic Systems, 2014 Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. A proper submodule $P$ of $M$ is called strongly prime submodule if $(P + Rx : M)ysubseteq P$ for $x, yin M$, implies that $xin P$ or $yin P$.
Alireza Naghipour
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TURKISH JOURNAL OF MATHEMATICS, 2019 Let \(R\) be a commutative ring and \(M\) be a unital \(R\)-module. Let \(S\) be a multiplicatively closed subset of \(R\) and \(P\) be a submodule of \(M\) such that \((P:_{R}M)\cap S=\emptyset\). \(P\) is called an \(S\)-prime submodule if there exists \(s\in S\) such that whenever \(am\in P\) then \(sa\in (P:_{R}M)\) or \(sm\in P\) for each \(a\in R\
Şengelen Sevim, Esra +3 more
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Uniformly Primal Submodule over Noncommutative Ring
Journal of Mathematics, 2020 Let R be an associative ring with identity and M be a unitary right R-module. A submodule N of M is called a uniformly primal submodule provided that the subset B of R is uniformly not right prime to N, if there exists an element s∈M−N with sRB⊆N.The set
Lamis J. M. Abulebda
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Prime Submodules of Graded Modules [PDF]
Proyecciones (Antofagasta), 2012 Let G be a group, R be a G-graded ring and M be a G-graded R-module. Suppose P is a prime ideal of Reand g G G. In this article, we defineMg (P) = {m G Mg : Am C PMg for some ideal A of Re satisfying A C P}that is an Re-submodule of Mg, and we investigate some results on this submodule.
Abu-Dawwas, Rashid +2 more
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Some properties of Z-small prime modules [PDF]
مجلة جامعة الانبار للعلوم الصرفةLet R be a commutative ring with identity, and H be a unital (left) E-module. In this paper, we give a new properties of Z-small modules. Where an E-module H is a Z-small prime module if and only if ann H = ann K, for every non-zero submodule K of H such
Alaa Elewi, ِAya Salman
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On weakly classical 1-absorbing prime submodules
Open MathematicsIn this paper, we study weakly classical 1-absorbing prime submodules of a nonzero unital module M over a commutative ring R having a nonzero identity. A proper submodule N of M is said to be a weakly classical 1-absorbing prime submodule, if for each m ∈
Yılmaz Zeynep +4 more
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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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Some results of Τ-quasi fuzzy prime submodules [PDF]
مجلة جامعة الانبار للعلوم الصرفة:In this research, the topic of Τ-quasi fuzzy prime submodule was studied, which is one of the types of partial fuzzy models. This work was divided into three sections, each of which has a study that begins by giving an introduction to the topic and ...
Hatam Khalf, Zainab Khalaf
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CHARACTERIZATION OF WEAKLY PRIME SUBMODULE
, 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
Afifah, Puspa Nur, Irawati, Irawati
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Weakly Approximaitly Quasi-Prime Submodules And Related Concepts
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2021 Let R be commutative Ring , and let T be unitary left .In this paper ,WAPP-quasi prime submodules are introduced as new generalization of Weakly quasi prime submodules , where proper submodule C of an R-module T is called WAPP –quasi prime ...
Haibat K. Mohammadali, Shahad J. Mahmood
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