Noetherian ring love

Noetherian ring

Definitions

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • noun mathematics A commutative ring in which every ideal is finitely generated.
  • noun mathematics A noncommutative ring which is both left-Noetherian and right-Noetherian, i.e., in which every left ideal is finitely generated and in which every right ideal is finitely generated, respectively.

Etymologies

from Wiktionary, Creative Commons Attribution/Share-Alike License

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

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