Advanced search
Start date
Betweenand


Multiplicative isomorphisms and derivations on axial algebras

Full text
Author(s):
Ferreira, Bruno L. M. ; Smigly, Douglas de Araujo ; Barreiro, Elisabete
Total Authors: 3
Document type: Journal article
Source: Journal of Pure and Applied Algebra; v. 228, n. 12, p. 27-pg., 2024-06-18.
Abstract

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)

FAPESP's process: 22/02571-4 - On maps preserving some identities on nonassociative algebraic structures
Grantee:Douglas de Araujo Smigly
Support Opportunities: Scholarships in Brazil - Doctorate