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

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