Abelian

Abelian

[uh-bee-lee-uhn, uh-beel-yuhn]
Abelian, in mathematics, is used in many different definitions, named after Norwegian mathematician Niels Henrik Abel:

In group theory:

In Galois theory:

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

In real analysis:

In functional analysis

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, an additive category that has all kernels and cokernels
  • Abelian category, a preabelian category in which every monomorphism is a kernel and every epimorphism is a cokernel

Search another word or see Abelianon Dictionary | Thesaurus |Spanish
Copyright © 2014 Dictionary.com, LLC. All rights reserved.
  • Please Login or Sign Up to use the Recent Searches feature
FAVORITES
RECENT

;