Abelian
(n.) Alt. of Abelonian | ||||
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Abelian definition was found in categories: Language, Idioms & Slang(1) Encyclopedia(1)
Abelian Definition from Language, Idioms & Slang Dictionaries & Glossaries
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abelian
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
\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
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Abelian
Abelian, in mathematics, is used in many different definitions, named after Norwegian mathematician Niels Henrik Abel:
In group theory:
In 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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