Clone
From Encyclopedia of Mathematics
of an operation
Any set of finitary operations of the form that is closed with respect to composition and contains all the projections
, defined by
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for any -tuple
in
, where
,
and
is an arbitrary fixed set. By a composition of operations
and
one means the operation
defined by the formula
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for some , where the sets of variables
,
and
satisfy the equality
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Comments
The name "clone" was invented by P. Hall. It first appeared in print in (the first edition of) [a1].
References
[a1] | P.M. Cohn, "Universal algebra" , Reidel (1981) |
How to Cite This Entry:
Clone. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Clone&oldid=46362
Clone. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Clone&oldid=46362
This article was adapted from an original article by V.B. Kudryavtsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article