Identities of a finite Cayley-Dickson algebra
type: Item
instance of: scholarly article
title: Identities of a finite Cayley-Dickson algebra
zbMATH Open document ID: 0598.17013
DOI: 10.1007/BF02071788
author: I. M. Isaev
published in: Algebra and Logic
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/187279
review text: In this paper a unary, a binary, and a ternary polynomial are given which serve as a basis for the identities of the Cayley-Dickson algebra over a finite field. The existence of a finite basis for these identities was proved by \textit{I. V. L'vov} [ibid. 17, No.3, 282-286 (1978; Zbl 0414.17009)].
Mathematics Subject Classification ID: 17D05
Mathematics Subject Classification ID: 16Rxx
zbMATH DE Number: 3964127
zbMATH Keywords: generators
zbMATH Keywords: identities
zbMATH Keywords: Cayley-Dickson algebra
zbMATH Keywords: finite field
reviewed by: L. Márki
MaRDI profile type: Publication
cites work: Q3947798
cites work: Borel subalgebras of alternative and Jordan algebras
description: scientific article; zbMATH DE number 3964127