Generalizations of prime ideals

نویسندگانمرضیه جمالی,رضا جهانی نژاد
همایش4th International Conference on Computational Algebra, Computational Number Theory and Applications,CACNA2023
تاریخ برگزاری همایش2023-07-04 - 2023-07-06
محل برگزاری همایش1 - کاشان
ارائه به نام دانشگاهدانشگاه کاشان
نوع ارائهسخنرانی
سطح همایشبین المللی

چکیده مقاله

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

کلید واژه ها: weakly prime ideal, weakly semiprime ideal, duo ring