Abelian may refer to:

Mathematics

Group theory

Topology and number theory

Other mathematics

  • Abelian category, in category theory, a preabelian category in which every monomorphism is a kernel and every epimorphism is a cokernel
  • Abelian and Tauberian theorems, in real analysis, used in the summation of divergent series
  • Abelian extension, in Galois theory, a field extension for which the associated Galois group is abelian
  • Abelian von Neumann algebra, in functional analysis, a von Neumann algebra of operators on a Hilbert space in which all elements commute

Other uses

See also

  • Pre-abelian category, an additive category that has all kernels and cokernels
  • Niels Henrik Abel (1802–1829), Norwegian mathematician who gave his name to several different mathematical concepts
  • Abelians, a 4th-century Christian sect
    • Abel, a Biblical figure in the Book of Genesis
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