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Exceptional prime alternative algebras. (Russian, English) Zbl 1164.17023

Sib. Mat. Zh. 48, No. 6, 1322-1337 (2007); translation in Sib. Math. J. 48, No. 6, 1060-1073 (2007).
Summary: We prove that every exceptional prime alternative algebra satisfies the Engel identity \([[x,y],y]=0\) of index 2.

MSC:

17D05 Alternative rings
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