Alternative elements in the Cayley-Dickson algebras
| dc.creator | Moreno, Guillermo | |
| dc.date | 2004-04-21 | |
| dc.date.accessioned | 2026-07-07T05:07:38Z | |
| dc.date.available | 2026-07-07T05:07:38Z | |
| dc.description | An element a in A_n, the Cayley-Dickson algebra is alternative if (a,a,x)=0 for all x. In this paper we characterise such elements for n>3.To do so,we prove first the so called Yui's conjecture:For a and b pure elements in A_n. If (a,x,b)=0 for all x then a and b are linearly dependent.Also we study alternativity between every two elements and relate this with the norm of their product . | |
| dc.description | Revised version of 2001 unpublished pre-print | |
| dc.identifier | https://arxiv.org/abs/math/0404395 | |
| dc.identifier | http://arxiv.org/abs/math/0404395 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70931 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17A99 | |
| dc.title | Alternative elements in the Cayley-Dickson algebras | |
| dc.type | text |