Mathematics

Approximating Properties of the Powers of the Differentiation Operator Resolvent

Authors: Khromov A. A.

The families of operators are constructed and their approximating properties are investigated in the problems of approximating the derivative of function sand the smooth solutions of integralequations.

Absolute Convergence of Single and Double Fourier Series on Multiplicative Systems

Authors: Volosivets S. S.

Two-dimensional analogs of famous Zygmund and Szasz tests for absolute convergence of Fourier – Vilenkin series are established. Also it is proved that two-dimensional Szasz test is the best possible in the certain sense.

Covariant and Contrvariant Homomorphisms of Games with Preference Relations

Authors: Savina T. F.

We consider Nash equilibrium and some its modifications as principles of optimality for games with preference relations. For description of the optimal solutions of games with preferencerelations covariantly and contrvariantly complete families of homomorphisms are introduced.

Equilibrium in Games with Ordered Outcomes

Authors: Rozen V. V.

We consider some conditions of existence of equilibrium points in mixed extensions of games with ordered outcomes.General methods for description of the set of equilibrium points and also for Nash equilibrium points are proposed.

On Determinant Zeros of Boolean Matrices

Authors: Poplavskii V. B.

The properties of exteriority and interiority of square matrices with elements from arbitrary Boolean algebra are studied in this paper. The exteriorandinte riorparts formade generatepart of a matrix with zerodeterminant. Itisshown, inparticular, that the setof exteriorparts is a normal setinthe Boolean algebraofall Booleans quarematrices and it is a lower semilattice. The set of interior parts is an upper semilattice. Moreover linear combinations and even polynomials of the interiorities also belong to it.

Set-Theoretical Approach to the Structure of Concept Generators

Authors: Novikov V.

Set-theoretical methods for the description of the structure of concept generators are developed.

Algebras of Continuous Multifunctions

Authors: Molchanov V. A.

With the help of methods of nonstandard analysis we investigate continuous convergencesin the space of multifunction sand describe pseudotopological algebras of continuous multifunctions.

The Green’s Relations and the Generalized Green’s Relations on Certain Transformation Semigroups

Authors: Kozhuhov I.

We investigate the Green’s relations L , R on the semigroups of isotone transformations of the partially ordered sets, and also the generalized Green’s relations L ∗, R∗ on the semigroup B(X) of binary relations on a set X. It is proved that L = L ∗, R = R∗ in the semigroup B(X) though this semigroup is non-regular for |X| > 3.

On Homomorphisms of Endomorphism Semigroups of Hypergraphs

Authors: Khvorostukhina E. V.

In the paper we describea structure of surjective homomorphisms of end omorphism semi groups of effective hypergraph swith p-definable edges.

Pages