Free composition

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An operation in some class of universal algebras that associates with a given set of algebras from this class the "weakest free" (in a certain sense) algebra of the same class that contains subalgebras isomorphic to the given algebras and generating them. At present the terminology is close to that of a free product.


This terminology is not used in Western literature.

How to Cite This Entry:
Free composition. O.A. Ivanova (originator), Encyclopedia of Mathematics. URL:
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098