Results 161 to 170 of about 584 (193)
MetaflowX: a scalable and resource-efficient workflow for multi-strategy metagenomic analysis. [PDF]
Xia Y +14 more
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<i>APOE</i> and <i>CCR2</i>: Potential Macrophage-Specific Biomarkers in the Rheumatoid Arthritis Synovial Microenvironment Identified by Bioinformatics and Experimental Verification in Murine Models. [PDF]
Wang D, Lu L, Zhang Y, Shang W.
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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.
Al-Shuhaib, Zinah M. K. +1 more
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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.
Al-Shuhaib, Zinah M. K. +1 more
exaly +3 more sources
Fuzzy Sets and Systems, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R Ameri
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R Ameri
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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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On the interior of a submodule with respect to a set of ideals
In this paper, we investigate interior operations on submodules and introduce a new interior operation by using a certain submodule class. Let R be a commutative ring with identity and I be a set of ideals of R.
Secil Çeken
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Algebra Colloquium, 2014
In this paper, we extend the concept of Ako and Oka families to submodules, study the behavior of the extended prime submodule principle and use these concepts to give new proofs of some familiar theorems.
Nekooei, R., Rostami, E.
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In this paper, we extend the concept of Ako and Oka families to submodules, study the behavior of the extended prime submodule principle and use these concepts to give new proofs of some familiar theorems.
Nekooei, R., Rostami, E.
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ON CHARACTERIZATIONS OF PRIME AND ALMOST PRIME SUBMODULES
JP Journal of Algebra, Number Theory and Applications, 2018Summary: We focus on some notions of prime submodules over a commutative ring with identity. Suppose \(R\) is a commutative ring with identity and \(M\) is an \(R\)-module. For more generalized version of prime module, we have weakly and almost prime submodules by defining different sets that contain the multiplication between element of ring and ...
Steven, Irawati
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On almost \(S\)-prime submodules
2023Let \(R\) be a commutative ring with non-zero identity, \(S\subseteq R\) be a multiplicatively closed subset of \(R\) and let \(M\) be an \(R\)-module. The purpose of the paper under review is to introduce and investigate of the notion of almost \(S\)-prime submodules. A submodule \(N\) of \(M\) with \((N :_R M)\cap S =\emptyset\); is said to be almost
Farzalipour, F. +2 more
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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.
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