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
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