Namespaces
Variants
Actions

Magma

From Encyclopedia of Mathematics
Revision as of 16:58, 7 February 2011 by 127.0.0.1 (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

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. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Magma&oldid=34696
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article