Abelian

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Abelian

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Abelian

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Abelian

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 contained in the center

Abelianisation

In Galois theory:

Abelian Extension , a field extension for which the associated Galois group is abelian

In real analysis:

Abelian Theorem s, used in the summation of divergent series

In functional analysis

Abelian Von Neumann Algebra , a von Neumann algebra of operators on a Hilbert space in which all elements commute

In topology and '''number theory'''

Abelian Variety , a complex torus that can be embedded into projective space

Abelian Function , a meromorphic function on an abelian variety

Abelian Integral , a function related to the indefinite integral of a differential of the first kind

In category theory:

Preabelian Category is an additive category that has all kernels and cokernels

Abelian Category , a preabelian category in which morphisms and objects can be added.