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In mathematics, the adjective '''Noetherian''' is used to describe objects that satisfy an ascending chain condition on certain kinds of subobjects; in particular,
★ Noetherian ring, a ring that satisfies the ascending chain condition on ideals.
★ Noetherian module, a module that satisfies the ascending chain condition on submodules.
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.
★ Noetherian ring, a ring that satisfies the ascending chain condition on ideals.
★ Noetherian module, a module that satisfies the ascending chain condition on submodules.
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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