Mappings of âˆ—-derivation-type on sum of products aâ—¦b âˆ’ baâˆ— on âˆ—-algebras: Mappings of âˆ—-derivation-type on âˆ—-algebras

João Carlos da Motta Ferreira; Maria das Graças Bruno Marietto

doi:10.5269/bspm.63665

Mappings of âˆ—-derivation-type on sum of products aâ—¦b âˆ’ baâˆ— on âˆ—-algebras

Mappings of âˆ—-derivation-type on âˆ—-algebras

Autores

João Carlos da Motta Ferreira UFABC
Maria das Graças Bruno Marietto

DOI:

https://doi.org/10.5269/bspm.63665

Resumo

Let A be a prime complex âˆ—-algebra. In this paper, we proved that every mapping Î´ : A â†’ A satisfying Î´(aâ—¦b âˆ’ baâˆ—) = Î´(a)â—¦b + aâ—¦Î´(b) âˆ’ Î´(b)aâˆ— âˆ’ bÎ´(a)âˆ— , (where â—¦ is the special Jordan product on A), for all elements a, b âˆˆ A, is an additive âˆ—-derivation.

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Publicado

2025-02-08

Edição

v. 43 (2025)

Seção

Artigos

Licença

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

Como Citar

Ferreira, J. C. da M., & Marietto, M. das G. B. (2025). Mappings of âˆ—-derivation-type on sum of products aâ—¦b âˆ’ baâˆ— on âˆ—-algebras: Mappings of âˆ—-derivation-type on âˆ—-algebras. Boletim Da Sociedade Paranaense De Matemática, 43, 1-8. https://doi.org/10.5269/bspm.63665