چکیده مقاله
In this paper, we give a generalization of primary ideal to noncommutative ring called right primary ideal We study the structure of right primary ideal in right andleft duo rings A ring R is called a right left duo ring, if every right left ideal of R is a two sided ideal We show that in a right Noetherian left duo ring, every irreducible idealis a right primary ideal Also, we obtain a decomposition of ideals in left duo rings We show that every proper ideal of a right Noetherian left duo ring, is a finite intersectionof right primary ideals
کلیدواژهها
Right duo Right primary Right Noetherian. Right Noetherian
نویسندگان
Maryam Masoudi Arani
Department of Mathematics, Technical and Vocational University TVU , Tehran, Iran
Reza Jahani-Nezhad
Department of Mathematics, University of Kashan, Kashan, Iran
شیوه ارجاع
Masoudi Arani, Maryam and Jahani-Nezhad, Reza,1401,Right primary ideal in right duo rings,10th National Conference on Mathematics, Payame Noor University,Shiraz
ارائهشده در
مجموعه مقالات دهمین همایش ملی ریاضی دانشگاه پیام نور28 اردیبهشت 1401 · شیراز