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Clone

From Encyclopedia of Mathematics
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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

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

for some , where the sets of variables , and satisfy the equality


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=15448
This article was adapted from an original article by V.B. Kudryavtsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article