# Flexible magma

This article defines a property that can be evaluated for a magma, and is invariant under isomorphisms of magmas.
View other such properties
This is a variation of semigroup|Find other variations of semigroup |

## Definition

A magma $(S,*)$ is termed a flexible magma if it satisfies the following identity:

$x * (y * x) = (x * y) * x \ \forall \ x,y \in S$.

## Relation with other properties

### Stronger properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
Diassociative magma submagma generated by any two elements is associative |FULL LIST, MORE INFO