noetherian

Etymology
From Emmy Noether.

Adjective

 * 1)  Satisfying some (usually ascending) :
 * 2)  In which any ascending chain of ideals eventually becomes constant.
 * 3)  In which any ascending chain of submodules eventually becomes constant.
 * 4)  In which any ascending chain of subgroups eventually becomes constant.
 * 5)  In which any ascending chain of open subsets eventually becomes constant.
 * 6)  Such that the converse relation is well-founded (on that set).
 * 7)  admitting a finite covering by open affine subsets $$\operatorname{Spec}A_i$$, where each $$A_i$$ is a noetherian ring;

Translations

 * Basque: noetherdar
 * Chinese:
 * Mandarin: 诺特的
 * French:
 * Italian: noetheriano