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  • On M-projectively flat LP-Sasakian manifolds 
    Zengin, F.Ö. (Український математичний журнал, 2013)
    In the present paper, we study the nature of LP-Sasakian manifolds admitting the M-projective curvature tensor. It is examined whether this manifold satisfies the condition W(X, Y ).R = 0. Moreover, it is proved that, in ...
  • On m-Sectorial Extensions of Sectorial Operators 
    Arlinskii, Yu.; Popov, A, (Журнал математической физики, анализа, геометрии, 2017)
    We study maximal sectorial extensions of an arbitrary closed densely defined sectorial operator. In particular, abstract boundary conditions for these extensions are obtained. The results are applied for the parametrization ...
  • On multi-frequency systems with impulses 
    Tkachenko, V.I. (Нелінійні коливання, 1998)
    We study exponential dichotomy for a linear quasiperiodic system with impulses. The piecewise smoothness of separatrix manifolds is proved. For nonlinear quasiperiodic impulsive system with linearized system that posseses ...
  • On multiple distillation or crystallization refining at given yield 
    Kravchenko, A.I.; Datsenko, O.A. (Вопросы атомной науки и техники, 2022)
    A comparison is made of the Cₙ concentration of the impurity with a separation coefficient β < 1 in the product of n-fold refining by simple distillation or normal directed crystallization with the concentration of C₁ ...
  • On multivariate public key based on a pair of transformation with density gap 
    Ustimenko, V.A. (Доповіді НАН України, 2018)
    We propose an algorithm of generation of the stable families of bijective polynomial maps f(n) of the n-dimensional affine space over a commutative ring K together with their inverse transformations. All maps are given ...
  • On Mykhailo Kozlovskii’s 50th birthday 
    Автор відсутній (Condensed Matter Physics, 2002)
    Mykhailo Kozlovskii is a renowned Ukrainian physicist, doctor of physico-mathematical sciences, deputy head of the Department of Condensed Matter Statistical Theory of the Institute for Condensed Matter Physics of the ...
  • On nearly m-supplemented subgroups of finite groups 
    Guo, J.; Zhang, J.; Miao, L. (Український математичний журнал, 2014)
    A subgroup H is called nearly ℳ-supplemented in a finite group G if there exists a normal subgroup K of G such that HK ⊴ G and TK < HK for every maximal subgroup T of H. We obtain some new results on supersoluble groups ...
  • On new expanders of unbounded degree for practical applications in informatics 
    Polak, M.; Ustimenko, V.A. (Доповіді НАН України, 2014)
    A method of construction of new examples of families of expander graphs of unbounded degree is presented. The property of being an expander seems significant in many of these mathematical, computational, and physical ...
  • On new key exchange multivariate protocols based on pseudorandom walks on incidence structures 
    Romańczuk-Polubiec, U.; Ustimenko, V.A. (Доповіді НАН України, 2015)
    A new key exchange protocol formulated in terms of multivariate cryptography and based on the elaboration of a common walk in the linguistic graph by correspondents is proposed. This algorithm is described in details in ...
  • On new multivariate cryptosystems based on hidden Eulerian equations 
    Ustimenko, V.A. (Доповіді НАН України, 2017)
    We propose new multivariate cryptosystems over an n-dimensional free module over the arithmetical ring Zm based on the idea of hidden discrete logarithm for Z*m. These cryptosystems are based on the hidden Eulerian ...
  • On new multivariate cryptosystems with nonlinearity gap 
    Ustimenko, V. (Algebra and Discrete Mathematics, 2017)
    The pair of families of bijective multivariate maps of kind Fn and Fn⁻¹ on affine space Kⁿ over finite commutative ring K given in their standard forms has a nonlinearity gap if the degree of Fn is bounded from above by ...
  • On New Properties of Graphs with Magic Type Labeling 
    Semeniuta, M.F.; Sherman, Z.O. (Управляющие системы и машины, 2019)
    We have shown the connection between vertex labelings of magic graph and its overgraph. Also, we have introduced binary relation on the set of all -distance magic graphs, where , i=1, 2, … and proved, that it is equivalence ...
  • On new results on extremal graph theory, theory of algebraic graphs, and their applications 
    Ustimenko, V.O. (Доповіді НАН України, 2022)
    New explicit constructions of infinite families of finite small world graphs of large girth with well-defined projective limits which is an infinite tree are described. The applications of these objects to constructions ...
  • On new symbolic key exchange protocols and cryptosystems based on a hidden tame homomorphism 
    Ustimenko, V.A. (Доповіді НАН України, 2018)
    Multivariate cryptosystems are divided into public rules, for which tools of encryption are open for users and systems of the El Gamal type, for which the encryption function is not given in public, and, for its generation, ...
  • On nilpotent Chernikov 2-groups with elementary tops 
    Drozd, Y.A.; Plakosh, A.I. (Algebra and Discrete Mathematics, 2016)
    We give an explicit description of nilpotent Chernikov 2-groups with elementary top and basis of rank 2.
  • On nilpotent Lie algebras of derivations of fraction fields 
    Petravchuk, A.P. (Algebra and Discrete Mathematics, 2016)
  • On nilpotent Lie algebras of derivations with large center 
    Sysak, K. (Algebra and Discrete Mathematics, 2016)
    Let K be a field of characteristic zero and A an associative commutative K-algebra that is an integral domain. Denote by R the quotient field of A and by W(A)=RDerA the Lie algebra of derivations on R that are products of ...
  • On Non-Gaussian Limiting Laws for Certain Statistics of Wigner Matrices 
    Lytova, A. (Журнал математической физики, анализа, геометрии, 2013)
    This paper is a continuation of our papers [12-14] in which the limiting laws of fluctuations were found for the linear eigenvalue statistics Tr φ(M⁽ⁿ⁾) and for the normalized matrix elements √nφjj(M⁽ⁿ⁾) of differentiable ...
  • On Non-Point Invertible Transformations of Difference and Differential-Difference Equations 
    Startsev, S.Ya. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Non-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are used to construct new ...
  • On normalizers in fuzzy groups 
    Kurdachenko, L.A.; Grin, K.O.; Turbay, N.A. (Algebra and Discrete Mathematics, 2013)
    In an arbitrary fuzzy group we define the normalizer of fuzzy subgroup and study some its properties. In particular, the characterization of nilpotent fuzzy group has been obtained.