*-Lie-Type Maps on Alternative *-Algebras
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DOI: 10.1142/s021949882350130x
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… read more here.
Keywords: lie type; maps alternative; alternative algebras; type maps ... See more keywords
Lie maps on alternative rings preserving idempotents
Sign Up to like & getrecommendations! Published in 2021 at "Colloquium Mathematicum"
DOI: 10.4064/cm8195-10-2020
Abstract: Let $\Re$ and $\Re'$ unital $2$,$3$-torsion free alternative rings and $\varphi: \Re \rightarrow \Re'$ be a surjective Lie multiplicative map that preserves idempotents. Assume that $\Re$ has a nontrivial idempotents. Under certain assumptions on $\Re$,… read more here.
Keywords: alternative rings; rings preserving; maps alternative; preserving idempotents ... See more keywords