Rings in which elements are sums of nilpotents, idempotents and tripotents-Reference-Cited by-同舟云学术

Rings in which elements are sums of nilpotents, idempotents and tripotents

Published:2018-01 Issue:01 Volume:17 Page:1850009
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Zhou Yiqiang¹

Affiliation:

1. Department of Mathematics and Statistics, Memorial University of Newfoundland, St.John’s, Nfld A1C 5S7, Canada

Abstract

We completely determine the rings for which every element is a sum of a nilpotent, an idempotent and a tripotent that commute with one another, and the rings for which every element is a sum of a nilpotent and two tripotents that commute with one another.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498818500093

Reference8 articles.

1. Nil clean rings

2. Rings in which every element is the sum of two idempotents

3. Nil-clean and strongly nil-clean rings

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