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On the additivity of n-multiplicative isomorphisms, derivations, and related maps in axial algebras https://arxiv.org/abs/2503.21783 #mathRA

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

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."

arXiv.org
April 1, 2025 at 3:10 AM · · feed2toot · 0 · 0 · 0
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