Year: 2024
Type: article
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 .
Author: Muntaha Abdul- Razaq Hasan
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Funder: Mustansiriyah University
OpenAlex ID: W4404389966