Mappings preserving sum of products {a, b}* + b*a or preserving {a, b}* + a*b on generalized matrix *-rings
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.
Authors
- Henrique Guzzo (ORCID: https://orcid.org/0000-0002-5210-3744)
- Bruno Leonardo Macedo Ferreira (ORCID: https://orcid.org/0000-0003-1621-8197)
- Daniel Kawai (ORCID: https://orcid.org/0000-0003-3395-6386)
Institutions
- Universidade Tecnológica Federal do Paraná (BR)
- Universidade de São Paulo (BR)
- Universidade Federal de São Paulo (BR)
Publication Details
- Journal
- Filomat
- Published
- 2025-01-01
- DOI
- https://doi.org/10.2298/fil2502469k
- Citations
- 1
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 5.38
Funders
- Fundação de Amparo à Pesquisa do Estado de São Paulo