Work

Rings whose non-invertible elements are nil-clean

Year: 2025

Type: article

Abstract: We systematically study those rings whose nonunits are a sum of an idempotent and a nilpotent. Some crucial characteristic properties are completely described as well as some structural results for this class of rings are obtained. This work somewhat continues two publications on the subject due to A. J. Diesl, Nil clean rings, J. Algebra 383 (2013) 197–211 and A. Karimi–Mansoub, T. Kosan and Y. Zhou, Rings in which every unit is a sum of a nilpotent and an idempotent, Contemp. Math. 715 (2018) 189–203.

Source: Asian-European Journal of Mathematics

DOI: 10.1142/s1793557125500524

Authors: Peter Danchev, Arash Javan, Omid Hasanzadeh, Ahmad Moussavi

Institutions: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, Tarbiat Modares University

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Junta de Andalucía

OpenAlex ID: W4409790386

FWCI:

Cites: 27

Cited by:

Related to: 10