*-Reverse derivations on alternative algebras-Reference-Cited by-同舟云学术

*-Reverse derivations on alternative algebras

Published:2024-06-22 Issue: Volume: Page:
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

de Barros Dylene Agda Souza¹^ORCID,Ferreira Bruno Leonardo Macedo²³⁴^ORCID,Guzzo Henrique²^ORCID

Affiliation:

1. Mathematics Department, Federal University of Uberlândia, Avenida João Naves de Ávila, 2121, Campus Santa Mónica 38408-100, Uberlândia, Brazil

2. Mathematics Department, University of São Paulo, Rua do Matão 1010, 05508-090 São Paulo, Brazil

3. Federal University of Technology, Paraná, Avenida Professora Laura Pacheco Bastos, 800-85053-51 Guarapuava, Brazil

4. Federal University of ABC, Avenida dos Estados, 5001-Bangú, Santo André, SP 09280-560, Brazil

Abstract

If [Formula: see text] is an alternative algebra containing a nontrivial symmetric idempotent, [Formula: see text] is a multiplicative ∗-reverse derivation and [Formula: see text] is a multiplicative Jordan ∗-reverse derivation, then under a mild condition on [Formula: see text] we prove that [Formula: see text] and [Formula: see text] are additives. Furthermore if [Formula: see text] is a Jordan ∗-reverse derivation, then under a mild condition on [Formula: see text] and [Formula: see text] we prove that [Formula: see text] is the form [Formula: see text], where [Formula: see text] is a ∗-reverse derivation of [Formula: see text] and [Formula: see text] is a singular Jordan ∗-reverse derivation of [Formula: see text]. Moreover, [Formula: see text] and [Formula: see text] are uniquely determined.

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498825503001