On clones, transformation monoids, and finite Boolean algebras |
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Authors: | A. A. Krokhin |
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Affiliation: | (1) Dept. of Algebra and Discr. Math., Ural State University, Lenin av. 51, 620083 Ekaterinburg, Russia, e-mail: Andrei.Krokhin@usu.ru, RU |
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Abstract: | We prove that, for a finite Boolean algebra, there exist only finitely many clones which consist of polynomial functions of the algebra and contain the monoid of its unary polynomial functions. Received January 7, 2000; accepted in final form December 13, 2000. |
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Keywords: | and phrases: Clone lattice monoidal interval polynomial finite Boolean algebra. |
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