abelian

[ey-beel-ee-uh n]

abelian Definition

pertaining to a mathematical group in which the binary operation is commutative.

Using abelian: Examples

Take a moment to familiarize yourself with how "abelian" can be used in various situations through the following examples!

  • Example

    An abelian group is a group in which the binary operation is commutative.

  • Example

    The integers are an example of an abelian group under addition.

Origins of abelian

named after Norwegian mathematician Niels Henrik Abel

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Summary: abelian in Brief

'Abelian' [ey-beel-ee-uh n] is an adjective used in mathematics to describe a group in which the binary operation is commutative. It is named after the Norwegian mathematician Niels Henrik Abel. Examples of abelian groups include the integers under addition.