nLab
associative magma

Contents

Definition

A magma (S,)(S,\cdot) is called associative if it satisfies the associativity condition, saying that for all x,y,zSx,y,z \in S then the equation

(xy)z=x(yz) (x \cdot y) \cdot z = x \cdot (y \cdot z)

holds.

Examples

Examples include semigroups/monoids, rings, associative algebras, etc.

Created on April 21, 2017 at 03:36:26. See the history of this page for a list of all contributions to it.