nLab commutative magma

Contents

Context

Algebra

higher algebra

universal algebra

Contents

Definition

A magma $(S,\cdot)$ is called commutative if its binary operation $(-)\cdot(-) \colon S \times S$ has the property that for all $x,y \in S$ then

$x \cdot y = y \cdot x \,.$

Examples

Examples include commutative monoids, abelian groups, commutative rings, commutative algebras etc.

Another example of a commutative magma is a midpoint algebra.

Last revised on June 1, 2021 at 00:17:22. See the history of this page for a list of all contributions to it.