Mathematics – Rings and Algebras
Scientific paper
2004-04-21
Mathematics
Rings and Algebras
Revised version of 2001 unpublished pre-print
Scientific paper
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 .
No associations
LandOfFree
Alternative elements in the Cayley-Dickson algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Alternative elements in the Cayley-Dickson algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Alternative elements in the Cayley-Dickson algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-662046