An algebra which does not satisfy
is called a nonassociative algebra.
See also
Algebra,
Cayley Number,
Complex Number,
Division
Algebra,
Quaternion,
Real
Number
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References
Kuz'min, E. N. and Shestakov, I. P. "Non-Associative Structures." In Algebra
VI. Combinatorial and Asymptotic Methods of Algebra: Nonassociative Structures
(Ed. A. I. Kostrikin and I. R. Shafarevich). New York: Springer-Verlag,
1995.Schafer, R. D. An
Introduction to Nonassociative Algebras. New York: Dover, 1996.Referenced
on Wolfram|Alpha
Nonassociative Algebra
Cite this as:
Weisstein, Eric W. "Nonassociative Algebra."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NonassociativeAlgebra.html
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