noun
noncommutative ring
Technical term in abstract algebra. A ring in which multiplication is not necessarily commutative.
行列環は非可換環の代表例である。
Matrix rings are typical examples of noncommutative rings.
非可換環の研究は量子力学とも関係が深い。
The study of noncommutative rings is closely related to quantum mechanics.
Compound of 非 (hi, 'non-') + 可換 (kakan, 'commutative') + 環 (kan, 'ring'). A direct calque of English 'noncommutative ring'.