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  • 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.
  • On NSP constants of a matrix and their linear preservers 
    Skrzyński, M. (Algebra and Discrete Mathematics, 2019)
    We collect some basic properties of NSP constants of a matrix, discuss an additive behavior of the spark, and prove two theorems characterizing linear endomorphisms which preserve the NSP constants.
  • On n-stars in colorings and orientations of graphs 
    Protasov, I.V. (Algebra and Discrete Mathematics, 2016)
    An n-star S in a graph G is the union of geodesic intervals I1,…,Ik with common end O such that the subgraphs I1∖{O},…,Ik∖{O} are pairwise disjoint and l(I1)+…+l(Ik)=n. If the edges of G are oriented, S is directed if each ...
  • On N-th order nonlinear ordinary random differential equations 
    Dhage, B.C. (Нелінійні коливання, 2010)
    In this paper, an existence result for a nonlinear n-th order ordinary random differential equation is proved under Caratheodory condition. Two existence results for extremal random solutions are also proved for ´ Caratheodory ...
  • On n-Tuples of Subspaces in Linear and Unitary Spaces 
    Samoilenko, Yu.S.; Yakymenko, D.Yu. (2009)
    We study a relation between brick n-tuples of subspaces of a finite dimensional linear space, and irreducible n-tuples of subspaces of a finite dimensional Hilbert (unitary) space such that a linear combination, with ...
  • On n-widths of bounded periodic holomorphic functions 
    Wilderotter, K. (Український математичний журнал, 1995)
    The even-dimensional Kolmogorov widths d2n, Gel'fand widths d²ⁿ, and linear widths δ2n ofà inL q andC are determined exactly. We show that all threen-widths are equal and give a characterization of the widths in terms of ...
  • On One Approach to Investigation of Mechanical System 
    Irtegov, V.D.; Titorenko, T.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The paper presents some results of qualitative analysis of Kirchhoff's differential equations describing motion of a rigid body in ideal fluid in Sokolov's case. The research methods are based on Lyapunov's classical ...
  • On one class of algebras 
    Zhuchok, Yul.V. (Algebra and Discrete Mathematics, 2014)
    In this paper a g-dimonoid which is isomorphic to the free g-dimonoid is given and a free n-nilpotent g-dimonoid is constructed. We also present the least n-nilpotent congruence on a free g-dimonoid and give numerous ...
  • On One Class of Non-Dissipative Operators 
    Levchuk, V.N. (Журнал математической физики, анализа, геометрии, 2017)
    The non-dissipative operator of integration is studied in the weight space. Its similarity to the operator of integration in the space without weight is proved. The functional model for this operator is obtained.
  • On one class of nonlinear operator equations in Hilbert spaces 
    Britov, N.A. (Нелинейные граничные задачи, 2000)
    One special class of nonlinear operator equations depended from two real numerical parameters in Hilbert spaces are considered. Non-local conditions of existence and uniqueness of solutions are established. The conditions ...
  • On one class of partition polynomials 
    Zatorsky, R.; Stefluk, S. (Algebra and Discrete Mathematics, 2013)
    We consider relations between one class of partition polynomials, parafunctions of triangular matrices (tables), and linear recurrence relations.
  • On one class of semiperfect semidistributive rings 
    Kasyanuk, M. (Algebra and Discrete Mathematics, 2013)
    In this paper we consider the Artinian semidistributive rings.
  • On One Nonlinear Boundary-Value Problem in Kinetic Theory of Gases 
    Khachatryan, A.Kh.; Khachatryan, Kh.A.; Sardaryan, T.H. (Журнал математической физики, анализа, геометрии, 2014)
    In the paper, the solvability of one nonlinear boundary-value problem arising in kinetic theory of gases is studied. We prove the existence of global solvability of a boundary-value problem in the Sobolev space W¹∞ (R+). ...
  • On One of the Weapon Types of Cimmerian Time 
    Klochko, D.D. (Археологія, 2020)
    The article is dedicated to the analysis of bimetallic swords and daggers of Cimmerian time, which were found both at Ukrainian territory and neighboring countries. The previously known and new findings are analyzed.
  • On one-sided interval edge colorings of biregular bipartite graphs 
    Kamalian, R.R. (Algebra and Discrete Mathematics, 2015)
    A proper edge t-coloring of a graph G is a coloring of edges of G with colors 1,2,…,t such that all colors are used, and no two adjacent edges receive the same color. The set of colors of edges incident with a vertex ...