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

• Araz Artinian, Armenian-Canadian filmmaker and photographer
• Artine Artinian (1907–2005), French literature scholar

See also

• Descending chain condition
• List of things named after Emil Artin

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