Lie-Type maps on alternative -algebras

Lie-Type maps on alternative -algebras

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 alternativ...

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Veröffentlicht in:arXiv.org 2021-11
Hauptverfasser: Aline Jaqueline De Oliveira Andrade, Barreiro, Elisabete, Macedo Ferreira, Bruno Leonardo
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Mathematics - Functional Analysis
Mathematics - Operator Algebras
Mathematics - Rings and Algebras
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2111.02150