**Abelian** — Abelian, in mathematics, is used in many different definitions, named after Norwegian mathematician Niels Henrik Abel:In group theory:*Abelian group, a group in which the binary operation is commutative **Category of abelian groups Ab has abelian … Wikipedia

**Abelian** — A*bel i*an, Abelite A bel*ite, Abelonian A bel*o ni*an, n. (Eccl. Hist.) One of a sect in Africa (4th century), mentioned by St. Augustine, who states that they married, but lived in continence, after the manner, as they pretended, of Abel. [1913 … The Collaborative International Dictionary of English

**abelian** — adjective Having a commutative defining operation. See Also: abelian algebra, abelian group, abelian operation, abelian ring … Wiktionary

**abelian** — adjective Usage: often capitalized Etymology: Niels Abel died 1829 Norwegian mathematician Date: 1847 commutative 2 < abelian group > < abelian ring > … New Collegiate Dictionary

**abelian** — ə¦bēlyən, lēən adjective Usage: often capitalized Etymology: Niels Abel died 1829 Norwegian mathematician + English ian : commutative 2 abelian ring the real numbers under addition comprise an abelian group … Useful english dictionary

**Abelian** — /euh bee lee euhn, euh beel yeuhn/, adj. Math. 1. of or pertaining to Niels Henrik Abel or his theorems. 2. pertaining to an algebraic system in which an operation is commutative: an Abelian group. 3. pertaining to such an operation. [1905 10;… … Universalium

**Abelian** — noun 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. Syn: Abelite, Abelonian … Wiktionary

**abelián** — adj. m. (sil. li an), pl. abeliéni; f. sg. abeliánã, pl. abeliéne … Romanian orthography

**abelian** — [ə bi:lɪən] adjective Mathematics (of a group) having members related by a commutative operation (i.e. a*b = b*a). Origin C19: from the name of the Norwegian mathematician Niels Henrik Abel + ian … English new terms dictionary

**abelian** — abe·lian … English syllables

**Abelian** — A•be•li•an [[t]əˈbi li ən, əˈbil yən[/t]] adj. math. of or pertaining to an algebraic system in which an operation is commutative • Etymology: 1905–10; after Niels Henrik Abel (1802–29), Norwegian mathematician … From formal English to slang