Standard Lemma guide

Artinian

adj · 3 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

adj

Meaning 1

in which any descending chain of ideals eventually starts repeating.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: algebra, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

adj

Meaning 2

in which any descending chain of submodules eventually starts repeating.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: algebra, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

3

adj

Meaning 3

Alternative letter-case form of Artinian.

Definition source: English Wiktionary via Wiktextract

Usage: alt-of, not-comparable

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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

Across languages

Translations

5 source translations are retained for this English entry.

  • Chinese Mandarin: 阿廷的 — of a ring
  • French: artinien — of a ring
  • Italian: artiniano — of a ring
  • Portuguese: artiniano — of a ring
  • Chinese Mandarin: 阿廷的 — of a module