Work

Mappings preserving sum of products {a, b}* + ba or preserving {a, b} + ab on generalized matrix -rings

Year: 2025

Type: article

Abstract: Let A be a generalized matrix *-ring and let B be an unital *-ring. For a, b ? A, we define {a, b}* = ab + ba*. In this paper, we prove that, under some additional conditions, a bijective map ? : A ? B that satisfies ?({a, b}* +b*a) = {?(a),?(b)}* +?(b)*?(a) for all a, b ? A or satisfies ?({a,b}* +a*b) = {?(a),?(b)}* + ?(a)*?(b) for all a, b ? A is a *-ring isomorphism.

Source: Filomat

DOI: 10.2298/fil2502469k

Authors: Daniel Eiti Kawai, Henrique Guzzo, Bruno Leonardo Ferreira

Institutions: Universidade de São Paulo, Universidade Tecnológica Federal do Paraná, Universidade Federal do ABC

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Fundação de Amparo à Pesquisa do Estado de São Paulo

Awards: G1488199717, G3877685579