noetherian

alternative Noetherian

1. Satisfying some (usually ascending) chain condition:
   1. not comparablealgebraIn which any ascending chain of ideals eventually becomes constant.
   2. not comparablealgebraIn which any ascending chain of submodules eventually becomes constant.
   3. not comparablealgebraIn which any ascending chain of subgroups eventually becomes constant.
   4. not comparablealgebraIn which any ascending chain of open subsets eventually becomes constant.
2. not comparablemathematicsSuch that the converse relation is well-founded (on that set).
3. not comparablealgebraic geometryadmitting a finite covering by open affine subsets operatorname SpecA_i, where each A_i is a noetherian ring;

1. not comparableAlternative letter-case form of noetherian.