Definitions from Wiktionary (Noetherian)

▸ adjective:  (algebra) Satisfying some (usually ascending) chain condition:
▸ adjective:  (of a ring) In which any ascending chain of ideals eventually becomes constant.
▸ adjective:  (of a module) In which any ascending chain of submodules eventually becomes constant.
▸ adjective:  (of a group) In which any ascending chain of subgroups eventually becomes constant.
▸ adjective:  (of a topological space) In which any ascending chain of open subsets eventually becomes constant.
▸ adjective:  (mathematics, of a binary relation on a set) Such that the converse relation is well-founded (on that set).
▸ adjective:  (algebraic geometry, of a scheme) admitting a finite covering by open affine subsets operatorname SpecA_i, where each A_i is a noetherian ring;
▸ adjective:  Alternative letter-case form of noetherian [(algebra) Satisfying some (usually ascending) chain condition:]




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