Every subgroup of an abelian group is abelian.
Source: tatoeba (6888310)
Abelian
//əˈbi.li.ən//
Synonyms for "abelian" (7 found)
Ranked by relevance and common usage.
Closest matches (2)
Strong matches (2)
Related words (3)
Adjective(1 words)
Related word relations
OpenGloss and ConceptNet supply richer edges like generalizations, collocations, and derivations.
Synonyms
2 entriesRelated terms
1 entriesderived
15 entriesderived from
1 entrieshas context
4 entriesrelated to
11 entriesTranslations
48 translations across 21 languages.
Armenian
1 entries- աբելյան adj (math: of an algebraic structure)
Basque
1 entries- abeldar adj (math: of an algebraic structure)
Catalan
2 entries- abelià adj (math: of an algebraic structure)
- commutatiu adj (math: of an algebraic structure)
Czech
3 entries- Abelova adj (math: of an algebraic structure)
- abelovská adj (math: of an algebraic structure)
- komutativní adj (math: of an algebraic structure)
Danish
1 entries- abelsk adj (math: of an algebraic structure)
Dutch
2 entries- abels adj (math: of an algebraic structure)
- commutatief adj (math: of an algebraic structure)
Esperanto
1 entries- abela adj (math: of an algebraic structure)
Estonian
2 entries- Abeli adj (math: of an algebraic structure)
- kommutatiivne adj (math: of an algebraic structure)
Finnish
3 entries- Abelin (as in Abelin ryhmä) adj (math: of an algebraic structure)
- abelinen adj (math: of an algebraic structure)
- kommutatiivinen adj (math: of an algebraic structure)
French
4 entries- abélien adj (math: of an algebraic structure)
- abélienne adj (math: of an algebraic structure)
- commutatif adj (math: of an algebraic structure)
- commutative adj (math: of an algebraic structure)
German
4 entries- abelsch adj (math: of an algebraic structure)
- kommutativ adj (math: of an algebraic structure)
- Abelianer noun (member of a sect living like Abel)
- Abelianerin noun (member of a sect living like Abel)
Hungarian
1 entries- abel adj (math: of an algebraic structure)
Icelandic
2 entries- Abel adj (math: of an algebraic structure)
- abelskur adj (math: of an algebraic structure)
Italian
1 entries- abeliano adj (math: of an algebraic structure)
Norwegian Bokmål
2 entries- abelsk adj (math: of an algebraic structure)
- kommutativ adj (math: of an algebraic structure)
Polish
2 entries- abelowa adj (math: of an algebraic structure)
- przemienna adj (math: of an algebraic structure)
Portuguese
2 entries- abeliano adj (math: of an algebraic structure)
- abeliano noun (member of a sect living like Abel)
Russian
1 entries- а́белев adj (math: of an algebraic structure)
Spanish
3 entries- abeliano adj (math: of an algebraic structure)
- conmutativo adj (math: of an algebraic structure)
- abelonita noun (member of a sect living like Abel)
Swedish
2 entries- abelsk adj (math: of an algebraic structure)
- kommutativ adj (math: of an algebraic structure)
Ukrainian
1 entries- а́белів adj (math: of an algebraic structure)
Sample sentences
9 total sentences available.
In mathematics, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written.
Source: tatoeba (8797682)
The interesting aspect here is that U₃ is irreducible, even though all irreps over the complexes are one-dimensional because ℤ₄ is abelian.
Source: wiktionary
Ex. 2. Show by §§ 187, 188 that there can be no transitive Abelian group of prime degree other than the cyclic group, and that there is no irreducible Abelian equation of prime degree other than the cyclic equation.
Source: wiktionary
Showing 4 of 9 available sentences.
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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.