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  • 16-XX Associative rings and algebras
  • 16Pxx Chain conditions, growth conditions, and other forms of finiteness
  • 16P20 Artinian rings and modules

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

  • 16P10 Finite rings and finite-dimensional algebras
  • 16P20 Artinian rings and modules
  • 16P40 Noetherian rings and modules
  • 16P50 Localization and Noetherian rings
  • 16P60 Chain conditions on annihilators and summands: Goldie-type conditions , Krull dimension
  • 16P70 Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence
  • 16P90 Growth rate, Gelfand-Kirillov dimension
  • 16P99 None of the above, but in this section
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