This article is cited in 2 papers

Associative identities of octonions

I. P. Shestakov<sup>ab

a</sup> Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
^b Universidade de São Paulo, Instituto de Matemática e Estatística, São Paulo, Brasil

Abstract: We work to find a basis of identities for an octonion algebra modulo an associator ideal of a free alternative algebra, or, in other words, a basis for an associative replica of an ideal of identities of an octonion algebra.

Keywords: octonion algebra, basis of identities.

UDC: 512.55

Received: 29.11.2010

 English version: Algebra and Logic, 2010, 49:6, 561–565

Bibliographic databases:

• 
• 
•