In mathematics, the adjective Noetherian is used to describe objects that satisfy an ascending or descending chain condition on certain kinds of subobjects; in particular,
- Noetherian group, a group that satisfies the ascending chain condition on subgroups
- Noetherian ring, a ring that satisfies the ascending chain condition on ideals.
- Noetherian module, a module that satisfies the ascending chain condition on submodules.
- Noetherian topological space, a topological space that satisfies the descending chain condition on closed sets.
- Noetherian induction, also called well-founded induction.
- Noetherian rewriting system, an abstract rewriting system that has no infinite chains
- Noetherian scheme.