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http://dx.doi.org/10.4134/BKMS.b191064

RINGS IN WHICH EVERY ELEMENT IS A SUM OF A NILPOTENT AND THREE TRIPOTENTS

Cui, Jian (Department of Mathematics Anhui Normal University)
Xia, Guoli (Department of Mathematics and Statistics Memorial University of Newfoundland)

Publication Information

Bulletin of the Korean Mathematical Society / v.58, no.1, 2021 , pp. 47-58 More about this Journal

Abstract

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;

Citations & Related Records

Reference

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