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 Fundam. Prikl. Mat.: Year: Volume: Issue: Page: Find

 Fundam. Prikl. Mat., 1996, Volume 2, Issue 4, Pages 1257–1268 (Mi fpm185)

On Lie automorphisms of simple rings of characteristic 2

M. A. Chebotar

M. V. Lomonosov Moscow State University

Abstract: Let $R,R'$ be prime rings of characteristic 2 such that one of them is not GPI. Then any Lie isomorphism $\phi\colon R\to R'$ is of the form $\sigma+\tau$, where $\sigma$ is an isomorphism or an antiisomorphism of $R$ into the central closure of $R'$ and $\tau$ is an additive mapping of $R$ into the extended centroid of $R'$. Analogous result holds for Lie automorphisms of matrice ring $R=M_n(F)$, $n\geq3$, where $F$ is algebraic closure of field.

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UDC: 512.552.16+512.552.34+512.554.37

Citation: M. A. Chebotar, “On Lie automorphisms of simple rings of characteristic 2”, Fundam. Prikl. Mat., 2:4 (1996), 1257–1268

Citation in format AMSBIB
\Bibitem{Che96} \by M.~A.~Chebotar \paper On Lie automorphisms of simple rings of characteristic~2 \jour Fundam. Prikl. Mat. \yr 1996 \vol 2 \issue 4 \pages 1257--1268 \mathnet{http://mi.mathnet.ru/fpm185} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1785785} \zmath{https://zbmath.org/?q=an:0898.16023} 

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This publication is cited in the following articles:
1. Beidar, KI, “On additive isomorphisms of prime rings preserving polynomials”, Journal of Algebra, 217:2 (1999), 650
2. Chebotar, MA, “On Lie isomorphisms in prime rings with involution”, Communications in Algebra, 27:6 (1999), 2767
3. Beidar, KI, “Generalized functional identities with (anti-) automorphisms and derivations on prime rings, I”, Journal of Algebra, 215:2 (1999), 644
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14. Benkovic, D, “Commuting traces and commutativity preserving maps on triangular algebras”, Journal of Algebra, 280:2 (2004), 797
15. Calderon Martin A.J., Martin Gonzalez C., “A Linear Approach to Lie Triple Automorphisms of H*-Algebras”, Journal of the Korean Mathematical Society, 48:1 (2011), 117–132
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