Multiplicative isomorphisms and derivations on axial algebras

Autor(es)

Ferreira, Bruno L. M. ; Smigly, Douglas de Araujo ; Barreiro, Elisabete

• Tipo de documento: Artigo Científico
• Fonte: Journal of Pure and Applied Algebra; v. 228, n. 12, p. 27-pg., 2024-06-18.

Resumo

In this paper, we show that the multiplicative derivations on J(alpha)-axial algebras, with alpha not equal 1, 0, 1/2, are additive under suitable conditions, which nowadays are called Martindale-type conditions. Besides, with proper assumptions, we proceed to study the additivity of multiplicative isomorphisms and derivations in the context of M(alpha, beta)-axial algebras, except for multiplicative derivations when beta = 12. In this case, we mention a research question at the end. (c) 2024 Elsevier B.V. All rights are reserved, including those for text and data (AU)

• Processo FAPESP: 22/02571-4 - Sobre aplicações preservando algumas identidades em estruturas algébricas não-associativas
• Beneficiário: Douglas de Araujo Smigly
• Modalidade de apoio: Bolsas no Brasil - Doutorado