Functions which are defined on finite sets occur in almost all fields of mathematics. For more
than 80 years algebras whose universes are such functions (so-called function algebras) …

Ivo Rosenberg determined all finite, finitary, functionally precomplete algebras; he split them
up naturally into six classes according to the kind of relation which is preserved by the …

Пусть $\mathcal P_k $–класс $ k $-значных функций, представимых полиномами над
кольцом вычетов $\mathbb Z_k $, а $\mathfrak M_k $–замкнутый класс функций …

Let φΛ be the class of fc-valued functions represented by polynomials over the residue ring
Z* and DUZ* the closed class of functions preserving all congruences of Z*. In this paper it is …

Описываются все замкнутые классы реализуемых полиномами над кольцом Zp2
функций p2-значной логики (число p простое), содержащие все линейные функции …

The article describes some new large sets of clones or intervals. It discusses the basis
definitions and notations of large sets of clones. It also illustrates the independent sets and …

Защита диссертации состоитсÿ 2 октÿбрÿ 2009 г. в 16 ч. 45 мин. на заседании
диссертационного совета Д. 501.001. 84 при Московском государственном …

Let Ek={0, 1,... k—1}. By a A:-valued function we shall mean a function f: EH~* Ek, and by Pk
we denote the set of all those functions. If A is a subset of Pk,[A] will stand for the set of all …

The authors determine the lattice of the clone consisting of the projections and those
members of Burle's clone that take on the values 0 and 1 only. Even this lattice is …

We consider functions of p 2-valued logic (p is prime) that may be implemented by
polynomials over the ring ℤ p 2, and describe all closed classes that contain linear functions …