Article
Kyungpook Mathematical Journal 2022; 62(2): 213-227
Published online June 30, 2022
Copyright © Kyungpook Mathematical Journal.
The Relation Between Units and Nilpotents
Jeoung Soo Cheon, Tai Keun Kwak*, Yang Lee, Young Joo Seo
Department of Mathematics, Pusan National University, Busan 46241, Korea
e-mail : jeoungsoo@pusan.ac.kr
Department of Data Science, Daejin University, Pocheon 11159, Korea
e-mail : tkkwak@daejin.ac.kr
Department of Mathematics, Yanbian University, Yanji 133002, China Institute for Applied Mathematics and Optics, Hanbat National University, Daejeon 34158, Korea
e-mail : ylee@pusan.ac.kr
Department of Data Science, Daejin University, Pocheon 11159, Korea
e-mail : jooggang@daejin.ac.kr
Received: November 17, 2021; Revised: March 8, 2022; Accepted: March 8, 2022
We discuss the relation between units and nilpotents of a ring, concentrating on the transitivity of units on nilpotents under regular group actions. We first prove that for a ring
Keywords: transitivity of units, right UN-transitive ring, unilpotent-IFP ring, unit, nilpotent, nilradical, NI ring