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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2007 Volume 48, Number 6, Pages 1322–1337 (Mi smj1810)
This article is cited in 10 papers

Exceptional prime alternative algebras

S. V. Pchelintsev

Finance Academy under the Government of the Russian Federation

Abstract: We prove that every exceptional prime alternative algebra satisfies the Engel identity $[[x,y],y]=0$ of index 2.

Keywords: prime algebra, alternative algebra.

UDC: 512.554.5

Received: 05.06.2006


 English version: Siberian Mathematical Journal, 2007, 48:6, 1060–1073

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© Steklov Math. Inst. of RAS, 2025