Noetherian ring

短语

发音

/nəˈtɛ.ɹi.ən ˈɹɪŋɡ/

词形变化

Noetherian rings 复数 Noetherian rings

释义与例句

n.
  1. 1.

    A ring which is either: (a) a commutative ring in which every ideal is finitely generated, or (b) a noncommutative ring that is both left-Noetherian (every left ideal is finitely generated) and right-Noetherian (every right ideal is finitely generated).

    数学

    2004, K. R. Goodearl, Introduction to the Second Edition, K. R. Goodearl, R. B. Warfield, Jr., An Introduction to Noncommutative Noetherian Rings, Cambridge University Press, 2nd Edition, page viii, During this same period, the explosive growth of the area of quantum groups provided a large new crop of noetherian rings to be analyzed, and thus gave major impetus to research in noetherian ring theory.

词源

Named after German mathematician Emmy Noether (1882–1935).

来源：wiktionary