# Magma

From Encyclopedia of Mathematics

A set endowed with an everywhere defined binary relation on it. No conditions are imposed. In particular, a magma need not be commutative or associative. Of particular importance is the free magma on an alphabet (set) . A mapping of one magma into another is a morphism of magmas if for all , i.e., if it respects the binary relations.

**How to Cite This Entry:**

Magma. M. Hazewinkel (originator),

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Magma&oldid=12223

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098