adj ·Rare ·Advanced level

Definitions

Adjective

1. 1
   Satisfying some (usually ascending) chain condition:; In which any ascending chain of ideals eventually becomes constant. not-comparable
2. 2
   Alternative letter-case form of noetherian. alt-of, not-comparable
3. 3
   Satisfying some (usually ascending) chain condition:; In which any ascending chain of submodules eventually becomes constant. not-comparable
4. 4
   Satisfying some (usually ascending) chain condition:; In which any ascending chain of subgroups eventually becomes constant. not-comparable
5. 5
   Satisfying some (usually ascending) chain condition:; In which any ascending chain of open subsets eventually becomes constant. not-comparable

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6. 6
   Such that the converse relation is well-founded (on that set). not-comparable
7. 7
   admitting a finite covering by open affine subsets operatorname SpecA_i, where each A_i is a noetherian ring; not-comparable

Etymology

From Emmy Noether.

Related phrases

noetherian moduleascending chain condition

Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.