different between artinian vs noetherian

artinian

artinian From the web:



noetherian

English

Alternative forms

  • Noetherian

Etymology

From Emmy Noether

Pronunciation

Adjective

noetherian (not comparable)

  1. (algebra) Of a ring in which any ascending chain of ideals eventually starts repeating.
  2. (algebra) Of a module in which any ascending chain of submodules eventually starts repeating.

Translations

See also

  • Artinian
  • ascending chain condition

noetherian From the web:

  • what is noetherian ring
  • what is noetherian r-module
  • definition of noetherian ring
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