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en

Noetherian

UK
/nəʊˈθɪəriən/
US
/noʊˈθɪriən/
ru

Translation noetherian into russian

Noetherian
Adjective
raiting
A Noetherian ring is a ring in which every ascending chain of ideals terminates.
Нетерово кольцо — это кольцо, в котором любая возрастающая цепочка идеалов завершается.

Definitions

Noetherian
Adjective
raiting
Relating to a type of ring or module in which every ascending chain of ideals or submodules terminates, named after the mathematician Emmy Noether.
The ring of integers is a Noetherian ring because it satisfies the ascending chain condition on ideals.