noetherian object

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

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

Created on August 4, 2009 at 20:54:02. See the history of this page for a list of all contributions to it.