adj · noun · 4 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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US:/əˈbi.li.ən/
US:/əˈbil.jən/
US:/əˈbiːlɪən/
Southern-England:Recorded audio is listed in the source snapshot.
Southern-England:Recorded audio is listed in the source snapshot.
Canada:Recorded audio is listed in the source snapshot.
rhymes with -iən
rhymes with -ɪljən
rhymes with -iːliən
1
adj
Meaning 1
Of an algebraic structure (usually a group or algebra), having a commutative defining operation.
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
2
adj
Meaning 2
Of a binary function, commutative.
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
3
adj
Meaning 3
Alternative letter-case form of abelian.
Definition source: English Wiktionary via Wiktextract
Usage: alt-of, dated, not-comparable
Topics: group-theory, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
4
noun
Meaning 4
A member of a sect in fourth-century Africa mentioned by St. Augustine, who states that they married but lived in continence after the manner, as they claimed, of Abel.
Definition source: English Wiktionary via Wiktextract
Usage: historical
Topics: Christianity
Examples
1826, unnamed translator, Pierre Bayle, An Historical and Critical Dictionary [1697, Dictionnaire Historique et Critique; 1709, Historical and Critical Dictionary], Selected and Abridged, Volume 1, page 50, The Abelians were only a moderate sort of Encratites and Novatians, who absolutely condemned matrimony, while the Abelians approved of and retained it.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
History
Etymology
Etymology tree Norwegian Abel Proto-Indo-European *-nós Proto-Italic *-nos Latin -nus Latin -ānus Latin -iānusbor. English -ian English abelian Name of the Norwegian mathematician Abel + -ian.
Etymology tree Biblical Hebrew הָ֑בֶל (háḇel)bor. Ancient Greek Ἅβελ (Hábel)bor. Latin Abē̆lder. Old English Ābel Middle English Abel English Abel Proto-Indo-European *-nós Proto-Italic *-nos Latin -nus Latin -ānus Latin -iānusbor. English -ian English Abelian From Abel + -ian.
Across languages
Translations
49 source translations are retained for this English entry.
Armenian:
աբելյան
(abelyan)
— math: of an algebraic structure
Basque:
abeldar
— math: of an algebraic structure
Catalan:
abelià
— math: of an algebraic structure
Catalan:
commutatiu
— math: of an algebraic structure
Czech:
Abelova
— math: of an algebraic structure
Czech:
abelovská
— math: of an algebraic structure
Czech:
komutativní
— math: of an algebraic structure
Danish:
abelsk
— math: of an algebraic structure
Dutch:
abels
— math: of an algebraic structure
Dutch:
commutatief
— math: of an algebraic structure
Esperanto:
abela
— math: of an algebraic structure
Estonian:
Abeli
— math: of an algebraic structure
Estonian:
kommutatiivne
— math: of an algebraic structure
Finnish:
abelinen
— math: of an algebraic structure
Finnish:
kommutatiivinen
— math: of an algebraic structure
Finnish:
Abelin (as in Abelin ryhmä)
— math: of an algebraic structure
French:
abélien
— math: of an algebraic structure
French:
abélienne
— math: of an algebraic structure
French:
commutatif
— math: of an algebraic structure
French:
commutative
— math: of an algebraic structure
German:
abelsch
— math: of an algebraic structure
German:
kommutativ
— math: of an algebraic structure
Hungarian:
abel
— math: of an algebraic structure
Icelandic:
Abel-
— math: of an algebraic structure
Icelandic:
abelskur
— math: of an algebraic structure
Italian:
abeliano
— math: of an algebraic structure
Norwegian Bokmål:
abelsk
— math: of an algebraic structure
Norwegian Bokmål:
kommutativ
— math: of an algebraic structure
Polish:
abelowa
— math: of an algebraic structure
Polish:
przemienna
— math: of an algebraic structure
Portuguese:
abeliano
— math: of an algebraic structure
Russian:
а́белев
(ábelev)
— math: of an algebraic structure
Spanish:
abeliano
— math: of an algebraic structure
Spanish:
conmutativo
— math: of an algebraic structure
Swedish:
abelsk
— math: of an algebraic structure
Swedish:
kommutativ
— math: of an algebraic structure
Ukrainian:
а́белів
(ábeliv)
— math: of an algebraic structure
French:
abélien
— member of a sect living like Abel
French:
abélienne
— member of a sect living like Abel
French:
abélite
— member of a sect living like Abel
French:
abélonien
— member of a sect living like Abel
French:
abélonienne
— member of a sect living like Abel
German:
Abelianer
— member of a sect living like Abel
German:
Abelianerin
— member of a sect living like Abel
German:
Abelit
— member of a sect living like Abel
German:
Abelitin
— member of a sect living like Abel
Latin:
Abelonii
— member of a sect living like Abel
Portuguese:
abeliano
— member of a sect living like Abel
Spanish:
abelonita
— member of a sect living like Abel
