Topology and Number Theory
- Abelian variety, a complex torus that can be embedded into projective space
- Abelian surface, a two-dimensional abelian variety
- 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
- Pre-abelian 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
- In physics
- A gauge theory is abelian or non-abelian depending on whether its symmetry group is commutative or non-commutative, respectively
Read more about this topic: Abelian
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