Identities of Cayley–Dickson Algebras
✍ Scribed by Irvin R Hentzel; Luiz A Peresi
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 176 KB
- Volume
- 188
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
We compute the identities and the central identities of degree F6 of the Cayley᎐Dickson algebras. Our process can be used to compute identities of higher degree. We assume a field of characteristic 0 or greater than the degree of the identities studied. Our identities are homogeneous multilinear polynomials.
📜 SIMILAR VOLUMES
In this paper we study the polynomial identities of the loop algebra of some RA2 loops of order 16. ᮊ 1999 Academic Press \* This paper was written while the second-named author held a grant from CNPq of Brazil.
Let U be the group of units of the group algebra FG of a group G over a field F. Suppose that either F is infinite or G has an element of infinite order. We characterize groups G so that U satisfies a group identity. Under the assumption that G modulo the torsion elements is nilpotent this gives a c