×

Subloops of sedenions. (English) Zbl 1101.20041

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.

MSC:

20N05 Loops, quasigroups
17A75 Composition algebras
PDFBibTeX XMLCite
Full Text: EuDML EMIS