Keywords: nilpotent; tripotent; 2-idempotent; exchange ring
Summary: We present new characterizations of the rings for which every element is a sum of two tripotents and a nilpotent that commute. These extend the results of Z. L. Ying, M. T. Koşan, Y. Zhou (2016) and Y. Zhou (2018).
[7] Koşan, M. T., Yildirim, T., Zhou, Y.: Rings whose elements are the sum of a tripotent and an element from the Jacobson radical. Can. Math. Bull. 62 (2019), 810-821. DOI 10.4153/S0008439519000092 | MR 4028489 | Zbl 07128566