abelian.
Of an algebraic structure (usually a group or algebra), having a commutative defining operation.
Meaning & usage
Of an algebraic structure (usually a group or algebra), having a commutative defining operation.
Of a binary function, commutative.
Where this word comes from
Etymology tree Norwegian Abel Proto-Indo-European *-(i)yós Proto-Italic *-ijos Proto-Italic *-ios Old Latin -ios Latin -ius Proto-Indo-European *-nós Proto-Italic *-nos Proto-Italic *-ānos Latin -ānus Latin -iānusbor. English -ian English abelian Name of the Norwegian mathematician Abel + -ian.
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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.
Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.