Noetherian ring

名词 n.
中文释义

英文释义

名词 n.
  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).
    — The central position occupied by Noetherian rings in commutative ring theory became evident from her^([Noether's]) work.

词形变化

Noetherian rings plural noetherian ring alternative

词源

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