| نویسندگان | رضا جهانی نژاد,مرضیه جمالی |
|---|---|
| همایش | 4th International Conference on Computational Algebra, Computational Number Theory and Applications,CACNA2023 |
| تاریخ برگزاری همایش | 2022-07-04 - 2023-07-06 |
| محل برگزاری همایش | 1 - کاشان |
| ارائه به نام دانشگاه | دانشگاه کاشان |
| نوع ارائه | سخنرانی |
| سطح همایش | بین المللی |
چکیده مقاله
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.
کلیدواژهها: Prime submodule, Classical prime submodule, Weakly prime submodule, Weakly prime ideal, Duo ring