Noetherian

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In mathematics, the adjective Noetherian is used to describes 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.
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