Work

Reverse order laws for Hirano inverses in rings

Year: 2019

Type: article

Abstract: In this paper, various kinds of reverse order laws for the Hirano inverse are characterized in a ring with the unit 1. Under some of conditions aba = a2b, ab2=bab, ahab2=bahab, a2bbh=abbha instead of the condition ab = ba, respectively, we present some equivalent conditions of the reverse order laws for Hirano inverses.

Source: Filomat

DOI: 10.2298/fil1911487c

Authors: Yinlan Chen, Honglin Zou

Institution: Hubei Normal University

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Hubei Provincial Department of Education, China Postdoctoral Science Foundation

Awards: G174449549, G986382750