Loops embedded in generalized Cayley algebras of dimension 2 r, r ≥ 2

Raoul E. Cawagas

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 28, 1-7

Abstract:

Every Cayley algebra of dimension 2 r , r ≥ 2 , contains an embedded invertible loop of order 2 r + 1 generated by its basis. Such a loop belongs to a class of non-abelian invertible loops that are flexible and power-associative.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:757613

DOI: 10.1155/S0161171201010766

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