Abelian
Abelian In mathematics, the term abelian is used in many different definitions: In group theory An abelian group is a group in which the ... binary operation is commutative. The category of abelian groups Ab has abelian groups as objects and group homomorphisms ...
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Abelian (En.howto wiki)
Abelian Object: Abelian Howtos: Guides: See Also: Mathematics
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Abelian group
Abelian group In mathematics, an abelian group, also called a commutative group, is ... Such groups are generally easier to understand. Abelian groups are named after Niels Henrik Abel ... that are not commutative are called non-abelian (rather than non-commutative). Notation There are two main notational conventions for abelian groups -- additive and multiplicative. Convention Operation ...
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Abelian category
Abelian category In mathematics, an abelian category is a category in which morphisms ... properties. The motivating prototype example of an abelian category is the category of abelian groups, Ab. Definitions A category is abelian if it has a zero object, ...
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Abelian integral
Abelian integral In mathematics, an abelian integral in Riemann surface theory is a ... the elliptic integrals. Logically speaking, therefore, an abelian integral should be a function such as ...
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Abelian variety
Abelian variety In mathematics, particularly in algebraic geometry, complex analysis and number theory, an abelian variety is a complex torus that can ... general than the complex numbers. One-dimensional abelian varieties are elliptic curves. History and motivation ... This gave the first glimpse of an abelian variety of dimension 2 (an abelian surface): what would now be called ...
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Abelian extension
Abelian extension In abstract algebra, an abelian extension is a field extension for which the associated Galois group is abelian. When the Galois group is a cyclic ... field theory has provided detailed information about abelian extensions of number fields, function fields of ... formed by adjoining roots of unity is abelian. The cyclotomic fields are examples. If ...
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Abelian variety (En.howto wiki)
Abelian variety Object: Abelian variety Howtos: Guides: See Also: Mathematics
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Abelian category (En.howto wiki)
Abelian category Object: Abelian category [edit] Howto: -- [edit] Guide: -- [edit] See ...
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Abelian integral (En.howto wiki)
Abelian integral Object: Abelian integral Howtos: Guides: See Also: Mathematics
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