Artinian

adj

adj ·Rare ·Advanced level

Definitions

Adjective
  1. 1
    in which any descending chain of ideals eventually starts repeating. not-comparable
  2. 2
    Alternative letter-case form of Artinian. alt-of, not-comparable
  3. 3
    in which any descending chain of submodules eventually starts repeating. not-comparable

Example

More examples

"Lemma 5 cannot be generalized to arbitrary artinian rings."

Etymology

From Artin + -ian, after Emil Artin, an Armenian-Austrian mathematician.

Related phrases

descending chain condition

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.