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Mathematical Sciences Classification System

16Dxx - Modules, bimodules and ideals

• 2
  16D10
  General module theory
• 16D20
  Bimodules
• 1
  16D25
  Ideals
• 16D30
  Infinite-dimensional simple rings (except as in 16Kxx)
• 3
  16D40
  Free, projective, and flat modules and ideals [See also 19A13]
• 16D50
  Injective modules, self-injective rings [See also 16L60]
• 1
  16D60
  Simple and semisimple modules, primitive rings and ideals
• 2
  16D70
  Structure and classification (except as in 16Gxx), direct sum decomposition, cancellation
• 16D80
  Other classes of modules and ideals [See also 16G50]
• 5
  16D90
  Module categories [See also 16Gxx, 16S90]; module theory in a category-theoretic context; Morita equivalence and duality
• 16D99
  None of the above, but in this section