Results 131 to 140 of about 466,881 (179)
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A Note on Minimal Prime Submodules
The American Mathematical Monthly, 2023In this short note, we give a characterization of the modules with finitely many minimal prime submodules over an arbitrary submodule.
A. Naghipour
semanticscholar +2 more sources
Proyecciones (Antofagasta)Let R be a ring with identity and S ⊆ R be a multiplicative closed subset. Let M be an R-module. Sevim et al. [15] introduced the concept of S-prime submodule.
Kamal Krishna Pathak, J. Goswami
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Missouri Journal of Mathematical Sciences
In this paper, the authors introduce and study properties of \(R\)-prime submodules and establish a relationship between \(R\)-prime submodules and other submodules like prime and \(J\)-semiprime submodules. The paper is badly written and the results are very simple, although new, and the proofs are straightforward.
Zinah M K AL-Shuhaib +1 more
semanticscholar +3 more sources
In this paper, the authors introduce and study properties of \(R\)-prime submodules and establish a relationship between \(R\)-prime submodules and other submodules like prime and \(J\)-semiprime submodules. The paper is badly written and the results are very simple, although new, and the proofs are straightforward.
Zinah M K AL-Shuhaib +1 more
semanticscholar +3 more sources
Height of Prime and Weakly Prime Submodules
Mediterranean Journal of Mathematics, 2010This article introduces and studies new definitions for the height of prime submodules and weakly prime submodules. New versions of catenary modules are discussed.
A Azizi
exaly +2 more sources
Prime Submodules and Flat Modules
Acta Mathematica Sinica, English Series, 2006The author studies prime submodules of flat and free modules over commutative rings.
A Azizi
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, 2017 Summary: We introduce a new generalization of prime submodules called \(I\)-prime submodule for \(I\) a fixed ideal of a commutative ring \(R\). We study some of its properties and show that the intersection of \(I\)-prime submodules is again \(I\)-prime. Finally, we proved that if \(F\) is a flat module and \(P\) an \(I\)-prime submodule of a module \(
Akray, Ismael, Hussein, Halgurd S.
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Prime and primary submodules of certain modules [PDF]
Czechoslovak Mathematical Journal, 2006 summary:In this paper we characterize all prime and primary submodules of the free $R$-module $R^{n}$ for a principal ideal domain $R$ and find the minimal primary decomposition of any submodule of $R^{n}$. In the case $n=2$, we also determine the height
Afshin Amini, H Sharif
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J-Prime submodules and some related concepts
Journal of Discrete Mathematical Sciences and Cryptography, 2023Suppose R has been an identity-preserving commutative ring, and suppose V has been a legitimate submodule of R-module W. A submodule V has been J-Prime Occasionally as well as occasionally based on what’s needed, it has been acceptable: x ∈ V + J(W ...
Iman A. Athab, N. Al-Mothafar
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Radical formula and prime submodules
Journal of Algebra, 2007 Let B be a submodule of an R-module M. The intersection of all prime submodules of M containing B is denoted by rad(B). For every positive integer n, a generalization of E(B) denoted by En(B) of M will be introduced. Moreover, 〈E(B)〉⊆〈En(B)〉⊆rad(B).
A Azizi
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