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Artinian

Artinian may refer to:

Mathematics

  • Objects named for Austrian mathematician Emil Artin (1898–1962)
  • Artinian ideal, an ideal I in R for which the Krull dimension of the quotient ring R/I is 0
  • Artinian ring, a ring which satisfies the descending chain condition on (one-sided) ideals
  • Artinian module, a module which satisfies the descending chain condition on submodules
  • Artinian group, a group which satisfies the descending chain condition on subgroups

People

See also