The Moufang identities state that for all 
, 
, 
in an alternative algebra 
,
 |  | ![x[a(xy)]](/images/equations/MoufangIdentities/Inline7.svg) |
(1)
|
 |  | ![[(yx)a]x](/images/equations/MoufangIdentities/Inline10.svg) |
(2)
|
 |  |  |
(3)
|
(Schafer 1996, p. 28).
Moufang Identities
See also
Moufang LoopExplore with Wolfram|Alpha
References
Schafer, R. D. An Introduction to Nonassociative Algebras. New York: Dover, 1996.Referenced on Wolfram|Alpha
Moufang IdentitiesCite this as:
Weisstein, Eric W. "Moufang Identities." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/MoufangIdentities.html