abelian

/əˈbi.li.ən/

//əˈbi.li.ən// adj

"abelian" is a 7-letter English headword indexed on PlainSpell.

The verdict

“abelian” is uncommon English (frequency #59,161 among 35,202 “A” headwords), classed as an adjective. The kind of spelling people second-guess.

#59,161
frequency rank, English
35,202
“A” headwords

According to Wiktionary data (CC BY-SA, analyzed May 6, 2026) - Of an algebraic structure (usually a group or algebra), having a commutative defining operation.

Key facts for abelian
PropertyValue
Headwordabelian
LanguageEnglish
Part of speechAdjective
IPA/əˈbi.li.ən/
Letters7
Frequency rank#59,161
Misspellings tracked0
Confusable pairs0
SourceWiktionary (kaikki.org)

Where “abelian” sits in English frequency

Every-word frequency runs from the handful of words we use constantly (left) to the long tail used once in a blue moon (right). abelian lands here:

#1#100#1K#10K#100K
← used constantlyrarely used →

Scale is logarithmic (each tick is 10× rarer). Source: FrequencyWords open word-frequency list.

Rare enough to double-check

abelian is uncommon English at frequency #59,161 among 35,202 “A” headwords, classed as anadjective, transcribed /əˈbi.li.ən/. Rarity is why readers land here mid-draft. 2 senses are on record.

Our edit-distance generator produced no likely misspellings for abelian, which points to an orthography that plays by predictable English rules. This entry stands alone in our confusable dataset, suggesting its spelling stands apart enough that readers rarely confuse it with something else.

Etymologically, the entry records: Name of the Norwegian mathematician Abel + -ian. The correct English form is abelian, spelled A-B-E-L-I-A-N.

Definition

  1. 1
    Of an algebraic structure (usually a group or algebra), having a commutative defining operation.
  2. 2
    Of a binary function, commutative.

Etymology

Name of the Norwegian mathematician Abel + -ian.

This word in other languages

Definitions, pronunciation, and etymology for this entry are drawn from Wiktionary via the kaikki.org structured extract (CC BY-SA); frequency ordering uses the FrequencyWords open word-frequency list (2018 English corpus, MIT). See the methodology for how each field is sourced and updated.

Frequently Asked Questions

How do you spell "abelian"?
"abelian" is spelled A-B-E-L-I-A-N. The IPA pronunciation is /əˈbi.li.ən/.
What does "abelian" mean?
As an adjective, "abelian" means: Of an algebraic structure (usually a group or algebra), having a commutative defining operation.
How do you pronounce "abelian"?
The IPA (International Phonetic Alphabet) transcription for "abelian" is /əˈbi.li.ən/. Click the speaker icon on the pronunciation badge above to hear it spoken aloud where audio is available.
What is the origin of the word "abelian"?
Name of the Norwegian mathematician Abel + -ian. See the full etymology section above for more details.
Is PlainSpell free to use?
Yes, PlainSpell is a completely free word reference. You can look up definitions, pronunciations, confusable pairs, homophones, and spelling corrections across 5 languages without any sign-up or subscription.

Using “abelian”

The practical upshot for anyone who landed here from a spell-check.

  • The one correct English spelling is A-B-E-L-I-A-N - every other letter order is a misspelling in standard orthography.
  • Say it as /əˈbi.li.ən/ (IPA); tap the speaker on the pronunciation badge to hear it where audio exists.
  • Browse more English words and confusable pairs in the same reference. English words

Other uncommon English words near this rank

Data Source

Wiktionary (via kaikki.org), licensed under CC BY-SA & GFDL. Word ordering uses an open word-frequency list; misspelling variants are generated by edit-distance from the correct headword.

Source: Wiktionary (via kaikki.org) Structured Wiktionary extract

Source: FrequencyWords open word-frequency list