Bruno L.M. Ferreira , Douglas de Araujo Smigly , Elisabete Barreiro
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Multiplicative isomorphisms and derivations on axial algebras
In this paper, we show that the multiplicative derivations on -axial algebras, with , 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 -axial algebras, except for multiplicative derivations when . In this case, we mention a research question at the end.
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