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On clones, transformation monoids, and finite Boolean algebras
Authors:A A Krokhin
Institution:(1) Dept. of Algebra and Discr. Math., Ural State University, Lenin av. 51, 620083 Ekaterinburg, Russia, e-mail: Andrei.Krokhin@usu.ru, RU
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.
Keywords:and phrases: Clone lattice  monoidal interval  polynomial  finite Boolean algebra  
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