noetherian.
Satisfying some (usually ascending) chain condition:
Meaning & usage
Satisfying some (usually ascending) chain condition: In which any ascending chain of ideals eventually becomes constant.
Satisfying some (usually ascending) chain condition: In which any ascending chain of submodules eventually becomes constant.
Satisfying some (usually ascending) chain condition: In which any ascending chain of subgroups eventually becomes constant.
Satisfying some (usually ascending) chain condition: In which any ascending chain of open subsets eventually becomes constant.
Such that the converse relation is well-founded (on that set).
admitting a finite covering by open affine subsets operatorname SpecA_i, where each A_i is a noetherian ring;
Where this word comes from
From Emmy Noether.
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Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.