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In mathematics, Noetherian is an adjective derived from the name of Emmy Noether, describing objects that satisfy an ascending chain condition on certain kinds of subobjects.
A Noetherian ring is a ring that satisfies the ascending chain condition on ideals.
A Noetherian module is a module that satisfies the ascending chain condition on submodules.
Emmy Noether was the first to study the ascending and descending chain conditions for rings.
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