 Noetherian

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 wellfounded induction.
 Noetherian rewriting system, an abstract rewriting system that has no infinite chains
 Noetherian scheme.
See also:
 Emmy Noether, who was the first to study the ascending and descending chain conditions for rings, and for whom the term is named.
 Artinian ring, a ring that satisfies the descending chain condition on ideals.
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