FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1996, VOLUME 2, NUMBER 4, PAGES 1257-1268

On Lie automorphisms of simple rings of characteristic 2

M. A. Chebotar

Abstract

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Let $R,R\text{'}$ be prime rings of characteristic 2 such that one of them is not GPI. Then any Lie isomorphism $\phi :\; R\; \to \; R\text{'}$ is of the form $$s + t, where $$s is an isomorphism or an antiisomorphism of $R$ into the central closure of $R\text{'}$ and $$t is an additive mapping of $R$ into the extended centroid of $R\text{'}$. Analogous result holds for Lie automorphisms of matrice ring $R\; =\; M$_n(F), $n$³ 3, where $F$ is algebraic closure of field.

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