nonassociative

Adjective

 * 1) Not associative.
 * 2)  Whose multiplication operation is not assumed to be associative for all elements.
 * 3) * 1996, E. G. Goodaire, E. Jespers, C. Polcino Milies, Alternative Loop Rings, Elsevier, page 5,
 * Two important functions in nonassociative ring theory are the commutator and associator which, for elements a, b, c in a ring are defined respectively by
 * [a, b] = ab − ba
 * and
 * [a, b, c] = a(bc) − (ab)c.
 * 1) * 2012, W. B. Vasantha Kandasamy, Florentin Smarandache, Non Associative Algebraic Structures Using Finite Complex Numbers, Zip Publishing, page 5,
 * Authors in this book for the first time have constructed nonassociative structures like groupoids, quasi loops, non associative semirings and rings using finite complex modulo integers.
 * Authors in this book for the first time have constructed nonassociative structures like groupoids, quasi loops, non associative semirings and rings using finite complex modulo integers.