nLab commutative magma

Redirected from "commutativity".
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Definition

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

xy=yx. 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 August 21, 2024 at 02:23:27. See the history of this page for a list of all contributions to it.