noetherian

Satisfying some (usually ascending) chain condition:

In which any ascending chain of ideals eventually becomes constant.

Satisfying some (usually ascending) chain condition:

In which any ascending chain of submodules eventually becomes constant.

Satisfying some (usually ascending) chain condition:

In which any ascending chain of subgroups eventually becomes constant.

Satisfying some (usually ascending) chain condition:

In which any ascending chain of open subsets eventually becomes constant.

Such that the converse relation is well-founded (on that set).

admitting a finite covering by open affine subsets operatorname SpecA_i, where each A_i is a noetherian ring;