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Reza Jahani-Nezhad

Reza Jahani-Nezhad

Associate Professor

College: Faculty of Mathematics

Department: Pure Mathematics

Degree: Ph.D

Birth Year: 1960

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Reza Jahani-Nezhad

Associate Professor Reza Jahani-Nezhad

College: Faculty of Mathematics - Department: Pure Mathematics Degree: Ph.D | Birth Year: 1960 |

Study of classical prime submodules

Authorsرضا جهانی نژاد,مرضیه جمالی
Conference Title4th International Conference on Computational Algebra, Computational Number Theory and Applications,CACNA2023
Holding Date of Conference2022-07-04 - 2023-07-06
Event Place1 - کاشان
Presented byدانشگاه کاشان
PresentationSPEECH
Conference LevelInternational Conferences

Abstract

The aim of this paper is to introduce the concept of classical prime submodules which is the generalization of the notion of weakly prime submodules to modules over arbitrary noncommutative rings. We study some properties of classical prime submodules and investigate their structure in different classes of modules. In particular, this yields characterizations of classical prime submodules in multiplication modules and also modules over duo rings.