Artinian

English

Etymology

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

Adjective

Artinian (not comparable)

(algebra, of a ring) in which any descending chain of ideals eventually starts repeating.
(algebra, of a module) in which any descending chain of submodules eventually starts repeating.

Translations

of a ring

Chinese:
Mandarin: 阿廷的
French: artinien (fr)
Italian: artiniano
Portuguese: artiniano

of a module

Chinese:
Mandarin: 阿廷的

See also

noetherian
descending chain condition

Anagrams

antiarin

This article is issued from Wiktionary. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.