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Abelian Definition from Language, Idioms & Slang Dictionaries & Glossaries
(n.)
Alt. of Abelonian
Webster's Revised Unabridged Dictionary (1913), edited by Noah Porter. AboutAlt. of Abelonian
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.
Abelian Definition from Encyclopedia Dictionaries & Glossaries
In mathematics, Abelian refers to any of number of different mathematical concepts named after Niels Henrik Abel:
Group theory
- Abelian group, a group in which the binary operation is commutative
- Category of abelian groups Ab has abelian groups as objects and group homomorphisms as morphisms
- Metabelian group is a group where the commutator subgroup is abelian
- Abelianisation
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