Geodesic
Subloops of sedenions
Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 2, pp. 295-302.

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This note investigates sedenion multiplication from the standpoint of loop theory. New two-sided loops are obtained within the version of the sedenions introduced by the second author. Conditions are given for the satisfaction of standard loop-theoretical identities within these loops.
Classification : 17A75, 20N05
Keywords: loop; left loop; sedenion; octonion; Cayley numbers; inverse property 
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Kivunge, Benard M.; Smith, Jonathan D. H. Subloops of sedenions. Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 2, pp. 295-302. http://geodesic.mathdoc.fr/item/CMUC_2004__45_2_a10/