Weakly Quasi-Primary K- Modules

Important areas for study in the field of modules include prime modules .There has already been an introduction to the idea of quasi-prime modules .Our focus recently has been on weakly quasi-prime modules as a means for investigating one of these generalizations .The main objective of this work is to introduce a new type of module , namely weakly quasi-primary K-modules . A module D whenever 〖ann〗_K D=√(〖ann〗_K r D)For each r ∉〖ann〗_K D, is called weakly quasi-primary K-module , which is a generalization of weakly quasi-prime K-module ,whenever 〖ann〗_K D=〖ann〗_K r D for every r∉〖ann〗_K D , then D is weakly quasi-prime K-module . Here the author obtain some characterize of weakly quasi-primary K-modules and investigated some properties of weakly quasi-primary K-modules .We prove relationships between weakly quasi-primary K-module and other modules , like prime module, quasi-prime module , weakly quasi-prime module and primary module are study in this paper .

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Publication Details

Journal
Advances in Nonlinear Variational Inequalities
Published
2024-11-07
DOI
https://doi.org/10.52783/anvi.v28.2238
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00

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article

Weakly Quasi-Primary K- Modules

M Hasan
Advances in Nonlinear Variational Inequalities
Rings, Modules, and Algebras
article

Weakly Quasi-Primary K- Modules

M Hasan
article en

Abstract

Important areas for study in the field of modules include prime modules .There has already been an introduction to the idea of quasi-prime modules .Our focus recently has been on weakly quasi-prime modules as a means for investigating one of these generalizations .The main objective of this work is to introduce a new type of module , namely weakly quasi-primary K-modules . A module D whenever 〖ann〗_K D=√(〖ann〗_K r D)For each r ∉〖ann〗_K D, is called weakly quasi-primary K-module , which is a generalization of weakly quasi-prime K-module ,whenever 〖ann〗_K D=〖ann〗_K r D for every r∉〖ann〗_K D , then D is weakly quasi-prime K-module . Here the author obtain some characterize of weakly quasi-primary K-modules and investigated some properties of weakly quasi-primary K-modules .We prove relationships between weakly quasi-primary K-module and other modules , like prime module, quasi-prime module , weakly quasi-prime module and primary module are study in this paper .

Advances in Nonlinear Variational InequalitiesVol. 28(1s)
Mustansiriyah University
Openalex Percentile: Top 63%
Rings, Modules, and Algebras
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