Bull. Korean Math. Soc. 2021; 58(1): 47-58
Online first article December 28, 2020 Printed January 31, 2021
https://doi.org/10.4134/BKMS.b191064
Copyright © The Korean Mathematical Society.
Jian Cui, Guoli Xia
Anhui Normal University; Memorial University of Newfoundland
In this article, we completely determine the rings for which every element is a sum of a nilpotent and three tripotents that commute with one another. We discuss this property for some extensions of rings, including group rings.
Keywords: Nilpotent, tripotent, sum of a nilpotent and three tripotents, Boolean ring, group ring
MSC numbers: Primary 16S34, 16U99
Supported by: This research was supported in part by Anhui Provincial Natural Science Foundation (No. 2008085MA06) and the Key Project of Anhui Education Committee (No. gxyqZD2019009).
2018; 55(4): 1179-1187
2008; 45(1): 101-103
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd