Noetherian

English

Alternative forms

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Etymology

From Emmy Noether.

Pronunciation

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Adjective

1. Template:Lb Satisfying some (usually ascending) Template:W:
   1. Template:SenseidTemplate:Lb In which any ascending chain of ideals eventually becomes constant.
   2. Template:Lb In which any ascending chain of submodules eventually becomes constant.
   3. Template:Lb In which any ascending chain of subgroups eventually becomes constant.
   4. Template:Lb In which any ascending chain of open subsets eventually becomes constant.
2. Template:Lb Such that the converse relation is well-founded (on that set).
3. Template:Lb admitting a finite covering by open affine subsets $\mathrm{Spec}{A}_i$, where each $A_i$ is a Template:L;

Translations

• Basque: Template:T
• Chinese:

  Mandarin: Template:T

• French: Template:T+
• Italian: Template:T

See also

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