Noetherian-ring definitions

(mathematics, abstract algebra) A commutative ring in which every ideal is finitely generated.
noun
0
0
(mathematics, abstract algebra) 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.
noun
0
0
Artinian ring.
hyponyms
0
0
Advertisement

Origin of noetherian-ring

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