The higher order group inverse in a ring

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Liu Dayong, Chen Huanyin
DOI: 10.48550/arxiv.2602.14421
Cited by: 0

Abstract

This paper introduces and studies the higher-order group inverse in a ring. We extend known properties of the higher-order group inverse from complex matrices to elements of a ring and, in the process, derive new results. We further characterize when a ring element can be expressed as the sum of a higher-order group element and a nilpotent element.

Fields of Study & Subjects

Rings Modules and Algebras Matrix Theory and Algorithms Mathematics and Applications

Publication details

Journal / source
arXiv (Cornell University)
Publication date
16 February 2026
Language
EN
Document type
Preprint