Standard Lemma guide

noetherian

adj · 7 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

Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.

  • /noʊˈθɪəriən/
  • US: Recorded audio is listed in the source snapshot.

1

adj

Meaning 1

Satisfying some (usually ascending) chain condition:

In which any ascending chain of ideals eventually becomes constant.

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

Satisfying some (usually ascending) chain condition:

In which any ascending chain of submodules eventually becomes constant.

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

Satisfying some (usually ascending) chain condition:

In which any ascending chain of subgroups eventually becomes constant.

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

4

adj

Meaning 4

Satisfying some (usually ascending) chain condition:

In which any ascending chain of open subsets eventually becomes constant.

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

5

adj

Meaning 5

Such that the converse relation is well-founded (on that set).

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

6

adj

Meaning 6

admitting a finite covering by open affine subsets operatorname SpecA_i, where each A_i is a noetherian ring;

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: algebraic-geometry, geometry, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

7

adj

Meaning 7

Alternative letter-case form of noetherian.

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 Emmy Noether.

Across languages

Translations

4 source translations are retained for this English entry.

  • Basque: noetherdar — math
  • Chinese Mandarin: 诺特的 — math
  • French: noethérien — math
  • Italian: noetheriano — math
Real reading context

noetherian in complete knowledge articles