noetherian object

An object $X$ in a category $C$ is **noetherian** if each ascending chain of subobjects of $X$ is stationary (= only finitely many inclusions in the chain are not isomorphisms in $C$).

Cf. noetherian ring, noetherian topological space, noetherian category.

Created on August 4, 2009 at 20:19:40. See the history of this page for a list of all contributions to it.