Article
Kyungpook Mathematical Journal 2021; 61(1): 11-21
Published online March 31, 2021
Copyright © Kyungpook Mathematical Journal.
Structures Related to Right Duo Factor Rings
Hongying Chen, Yang Lee, Zhelin Piao∗
Department of Mathematics, Pusan National University, Pusan 46241, Korea
e-mail : 1058695917@qq.com
Department of Mathematics, Yanbian University, Yanji 133002, China and Institute of Basic Science, Daejin University, Pocheon 11159, Korea
e-mail : ylee@pusan.ac.kr
Department of Mathematics, Yanbian University, Yanji 133002, China
e-mail : zlpiao@ybu.edu.cn
Received: December 9, 2019; Revised: June 30, 2020; Accepted: June 4, 2020
We study the structure of rings whose factor rings modulo nonzero proper ideals are right duo; such rings are called right FD. We first see that this new ring property is not left-right symmetric. We prove for a non-prime right FD ring R that R is a subdirect product of subdirectly irreducible right FD rings; and that
Keywords: right FD ring, right duo ring, division ring, commutative ring, simple ring, non-prime right FD ring, matrix ring, polynomial ring, subring, idempotent