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arXiv · 2503.21783

On the additivity of n-multiplicative isomorphisms, derivations, and related maps in axial algebras

Daniel Eiti Nishida Kawai·Henrique Guzzo Jr.·Bruno Leonardo Macedo Ferreira
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Abstract

In this paper, we demonstrate that several classes of functions, specifically n-multiplicative isomorphisms, derivations, elementary maps, and Jordan elementary maps on a class of algebras that includes Jordan algebras with idempotents, J(a)-axial algebras and M(a,b)-axial algebras, are additive under appropriate conditions, which may be referred to as Martindale-type conditions. Furthermore, we answer the question left open in the recent article titled "Multiplicative isomorphisms and derivations on axial algebra."

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Daniel Eiti Nishida Kawai, Henrique Guzzo Jr., Bruno Leonardo Macedo Ferreira. 2025-02-17. On the additivity of n-multiplicative isomorphisms, derivations, and related maps in axial algebras. https://arxiv.org/abs/2503.21783

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