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Keywords:
loop; left loop; sedenion; octonion; Cayley numbers; inverse property
loop; left loop; sedenion; octonion; Cayley numbers; inverse property
Summary:
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.
References:
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