Generalizations of prime ideals

Authorsمرضیه جمالی,رضا جهانی نژاد
Conference Title4th International Conference on Computational Algebra, Computational Number Theory and Applications,CACNA2023
Holding Date of Conference2023-07-04 - 2023-07-06
Event Place1 - کاشان
Presented byدانشگاه کاشان
PresentationSPEECH
Conference LevelInternational Conferences

Abstract

In this article we inveastigate some properties of weakly prime ideals in arbitrary unital rings and we generalize the notion of weakly semiprime ideal to arbitrary unital rings. The relationship among the families of weakly prime ideals, prime ideals, semiprime ideals and weakly semiprime ideals of a ring R is considered. Also, the structure of such ideals on duo rings is described

tags: weakly prime ideal, weakly semiprime ideal, duo ring