| Authors | رضا جهانی نژاد,مرضیه جمالی |
|---|---|
| Conference Title | 4th International Conference on Computational Algebra, Computational Number Theory and Applications,CACNA2023 |
| Holding Date of Conference | 2022-07-04 - 2023-07-06 |
| Event Place | 1 - کاشان |
| Presented by | دانشگاه کاشان |
| Presentation | SPEECH |
| Conference Level | International 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.
tags: Prime submodule, Classical prime submodule, Weakly prime submodule, Weakly prime ideal, Duo ring