noetherian
adj/noʊˈθɪəriən/
Etymology From Emmy Noether.
› Satisfying some (usually ascending) chain condition:
Algebra, Mathematics, Sciences Of a ring In which any ascending chain of ideals eventually becomes constant.
Algebra, Mathematics, Sciences Of a module In which any ascending chain of submodules eventually becomes constant.
Algebra, Mathematics, Sciences Of a group In which any ascending chain of subgroups eventually becomes constant.
Algebra, Mathematics, Sciences Of a topological space In which any ascending chain of open subsets eventually becomes constant.
Mathematics, Sciences Such that the converse relation is well-founded (on that set).
Of a binary relation on a set
Algebraic geometry, Geometry, Mathematics, Sciences Of a scheme admitting a finite covering by open affine subsets operatorname SpecA_i, where each A_i is a noetherian ring;
- Derived terms
- noetherian module
- Related terms
- Artinian, ascending chain condition