ENGLISH DICTIONARY

Noetherian

Definition & Meaning

Pronunciation /noʊˈθɪəriən/ · Part of speech adjective

Quick meaning: Noetherian is an adjective meaning (algebra) Satisfying some (usually ascending) chain condition:.

Meaning

(algebra) Satisfying some (usually ascending) chain condition:.

More Meanings

  1. (mathematics, of a binary relation on a set) Such that the converse relation is well-founded (on that set).
  2. (algebraic geometry, of a scheme) admitting a finite covering by open affine subsets operatorname SpecA_i, where each A_i is a noetherian ring;

Related Words

Related dictionary entries include artinian, semilocal, semihereditary, hereditary, semiprimitive, pseudoabelian.

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Sources & Attribution

FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0

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