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Mathematical Sciences Classification System

16Pxx - Chain conditions, growth conditions, and other forms of finiteness

• 2
  16P10
  Finite rings and finite-dimensional algebras {For semisimple, see 16K20; for commutative, see 11Txx, 13Mxx}
• 2
  16P20
  Artinian rings and modules
• 5
  16P40
  Noetherian rings and modules
• 2
  16P50
  Localization and Noetherian rings [See also 16U20]
• 1
  16P60
  Chain conditions on annihilators and summands: Goldie-type conditions [See also 16U20], Krull dimension
• 16P70
  Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence
• 4
  16P90
  Growth rate, Gelfand-Kirillov dimension
• 16P99
  None of the above, but in this section