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noetherian. In DICTIOUS you will not only get to know all the dictionary meanings for the word
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English
Alternative forms
Etymology
From Emmy Noether.
Pronunciation
IPA(key): /noʊˈθɪəriən/
Adjective
noetherian (not comparable)
- (algebra) Satisfying some (usually ascending) chain condition:
- (of a ring) In which any ascending chain of ideals eventually becomes constant.
- (of a module) In which any ascending chain of submodules eventually becomes constant.
- (of a group) In which any ascending chain of subgroups eventually becomes constant.
- (of a topological space) In which any ascending chain of open subsets eventually becomes constant.
- (mathematics, of a binary relation on a set) Such that the converse relation is well-founded (on that set).
- (algebraic geometry, of a scheme) admitting a finite covering by open affine subsets , where each is a noetherian ring;
Derived terms
Translations
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