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*-Lie-Type maps on alternative *-algebras

Published 3 Nov 2021 in math.RA, math.FA, and math.OA | (2111.02150v1)

Abstract: Let $A$ and $A'$ be two alternative $$-algebras with identities 1_A and 1_A', respectively, and e_1 and e_2 = 1_A - e_1 nontrivial symmetric idempotents in A. In this paper we study the characterization of multiplicative *-Lie-type maps. As application, we get a result on alternative W-algebras.

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