English Dictionary

nonassociative

形容詞

比較不可 代数的構造

Not associative. / (algebra, of an algebraic structure) Whose multiplication operation is not assumed to be associative for all elements.

日本語の意味

結合律が成り立たない / （代数学の構造において）全ての元に対して乗法が結合律を満たすとは限らない

The algebraic structure is nonassociative, which complicates the computation of products.

その代数的構造は結合律を満たさないため、積の計算が複雑になります。

意味（1）

Not associative.

意味（2）

(algebra, of an algebraic structure) Whose multiplication operation is not assumed to be associative for all elements.

This book has been written about associative algebras. However, there is an analogous “PI-theory” that can be carried out for nonassociative rings, which is outlined here.