Clone (algebra)

id: clone-algebra-282-4046538
title: Clone (algebra)
text: In universal algebra, a clone is a set C of finitary operations on a set A such that C contains all the projections πkn: An → A, defined by πkn(x1, …, xn) = xk, C is closed under composition: if f, g1, …, gm are members of C such that f is m-ary, and gj is n-ary for all j, then the n-ary operation h(x1, …, xn) := f(g1, …, gm) is in C. The question whether clones should contain nullary operations or not is not treated uniformly in the literature. The classical approach as evidenced by the standar
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original url: https://en.wikipedia.org/wiki/Clone_(algebra)
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date modified: 2022-12-09T11:35:53Z
main entity: {"identifier":"Q838048","url":"https://www.wikidata.org/entity/Q838048"}
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