On rings with xn − x nilpotent

Author:

Abyzov A. N.1ORCID,Tapkin D. T.1

Affiliation:

1. N.I. Lobachevsky Institute of Mathematics and Mechanics, Kazan Federal University, Kazan 420008, Russian Federation

Abstract

For [Formula: see text] and for a ring [Formula: see text] the notation [Formula: see text] means that [Formula: see text] is nilpotent for all [Formula: see text]. In this paper, rings [Formula: see text] for which [Formula: see text] holds are completely characterized for any integers [Formula: see text]. This answers a question which was raised in [T. Kosan, Y. Zhou, T. Yildirim, Rings with [Formula: see text] nilpotent, J. Algebra Appl. 19(4) (2020) 2050065].

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Rings close to periodic with applications to matrix, endomorphism and group rings;Communications in Algebra;2023-11-14

2. Rings whose elements are sums of m-potents and nilpotents;Communications in Algebra;2022-05-12

3. Generalized Zhou inverses in rings;Communications in Algebra;2021-04-26

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