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Moufang Identities


For all x, y, a in an alternative algebra A,

(xax)y=x[a(xy)]
(1)
y(xax)=[(yx)a]x
(2)
(xy)(ax)=x(ya)x
(3)

(Schafer 1996, p. 28).


See also

Moufang Loop

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References

Schafer, R. D. An Introduction to Nonassociative Algebras. New York: Dover, 1996.

Referenced on Wolfram|Alpha

Moufang Identities

Cite this as:

Weisstein, Eric W. "Moufang Identities." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MoufangIdentities.html

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