An algebra which does not satisfy
 |
is called a nonassociative algebra.
Nonassociative Algebra
See also
Algebra, Cayley Number, Complex Number, Division Algebra, Quaternion, Real NumberExplore with Wolfram|Alpha
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 AlgebraCite this as:
Weisstein, Eric W. "Nonassociative Algebra." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NonassociativeAlgebra.html