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*-Lie-Type Maps on Alternative *-Algebras

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Let A and A ′ be two alternative ∗-algebras with identities 1A and 1A ′ , respectively, and e1 and e2 = 1A − e1 nontrivial symmetric idempotents in A… Click to show full abstract

Let A and A ′ be two alternative ∗-algebras with identities 1A and 1A ′ , respectively, and e1 and e2 = 1A − e1 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.

Keywords: lie type; maps alternative; alternative algebras; type maps

Journal Title: Journal of Algebra and Its Applications
Year Published: 2022

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