International Journal of Mathematics and Mathematical Sciences
Volume 28 (2001), Issue 3, Pages 181-187
doi:10.1155/S0161171201010766
Loops embedded in generalized Cayley algebras of dimension 2r,r≥2
Raoul E. Cawagas
SciTech Center, Polytechnic University of the Philippines, Manila, Philippines
Abstract
Every Cayley algebra of dimension 2r,r≥2, contains an embedded invertible loop of order 2r+1 generated by its basis. Such a loop belongs to a class of non-abelian invertible loops that are flexible and power-associative.