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  • On the Isomorphic Group Algebras of Isotype Subgroups of Warfield Abelian Groups 
    Danchev, P. (Український математичний вісник, 2006)
    A new class of global mixed Abelian groups, called W-groups, is defined. The following isomorphism theorem for commutative modular group algebras of such groups is proved: If G is a p-mixed μ-elementary W-group for some ...
  • On the issue of shielding properties of plasma in the outside separatrix region of U-3M 
    Konovalov, V.G.; Chechkin, V.V.; Ggrigor’eva, L.I.; Shapoval, A.N. (Вопросы атомной науки и техники, 2014)
    When providing experiments on RF plasma production and heating in U-3M torsatron there was observed sudden decrease (up to two times) of mean confined plasma density during step-rise of an RF antenna voltage. Trying to ...
  • On the Jost Solutions for a Class of Schrödinger Equations with Piecewise Constant Coefficients 
    Nabiev, A.A.; Mamedov, Kh.R. (Журнал математической физики, анализа, геометрии, 2015)
    In this paper, the new integral representations for the Jost solutions of the one-dimensional Schrödinger equation with the piecewise-constant leading coe±cient are obtained. The connections, obtained between the kernel ...
  • On the kernels of higher R-derivations of R[x1, ... xn] 
    Kour, S. (Algebra and Discrete Mathematics, 2021)
    Let R be an integral domain and A = R[x1, . . . , xn] be the polynomial ring in n variables. In this article, we study the kernel of higher R-derivation D of A. It is shown that if R is a HCF ring and tr. degR(Aᴰ) ≤ 1 then ...
  • On the Kievan Letter from the Genizah of Cairo 
    Zuckerman, C. (Ruthenica, 2011)
  • On the Killing form of Lie Algebras in Symmetric Ribbon Categories 
    Buchberger, I.; Fuchs, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    As a step towards the structure theory of Lie algebras in symmetric monoidal categories we establish results involving the Killing form. The proper categorical setting for discussing these issues are symmetric ribbon categories.
  • On the kinetics of binary nucleation 
    Alekseechkin, N.V. (Вопросы атомной науки и техники, 2009)
    Two problems of the theory of binary nucleation are solved: normalization of the equilibrium distribution function of nuclei and correct transition to the one-dimensional theory. Classification of multivariable ...
  • On the kinetics of phase transformation of small particles in Kolmogorov's model 
    Alekseechkin, N.V. (Condensed Matter Physics, 2008)
    The classical Kolmogorov-Johnson-Mehl-Avrami (KJMA) theory is generalized to the case of a finite-size system. The problem of calculating the new-phase volume fraction in a spherical domain is solved within the framework ...
  • On the Koplienko Spectral Shift Function. I. Basics 
    Gesztesy, F.; Pushnitski, A.; Simon, B. (Журнал математической физики, анализа, геометрии, 2008)
    We study the Koplienko Spectral Shift Function (KoSSF), which is distinct from the one of Krein (KrSSF). KoSSF is defined for pairs A,B with (A - B) is in I₂, the Hilbert{Schmidt operators, while KrSSF is defined for pairs ...
  • On the Kramers-Kronig relation with account of spatial dispersion 
    Makarov, V.P.; Rukhadze, A.A. (Вопросы атомной науки и техники, 2013)
    Following the ideas of D.A. Kirzhnitz [1], the ‾E, ‾B, ‾D − representation of the electrodynamic Kramers-Kronig relation is used to study the longitudinal and transverse permittivity properties of response functions of the ...
  • On the Lagrangian and Hamiltonian aspects of infinite-dimensional dynamical systems and their finite-dimensional reductions 
    Prykarpatsky, Y.A.; Samoilenko, A.M. (Нелінійні коливання, 2005)
    Some aspects of the description of Lagrangian and Hamiltonian formalisms naturally arising from the invariance structure of given nonlinear dynamical systems on the infinite-dimensional functional manifold is presented. ...
  • On the lattice of cyclic codes over finite chain rings 
    Fotue-Tabue, A.; Mouaha, C. (Algebra and Discrete Mathematics, 2019)
    In this paper, R is a finite chain ring of invariants (q, s), and ℓ is a positive integer fulfilling gcd(ℓ, q) = 1. In the language of q-cyclotomic cosets modulo ℓ, the cyclic codes over R of length ℓ are uniquely decomposed ...
  • On the lattice of weak topologies on the bicyclic monoid with adjoined zero 
    Bardyla, S.; Gutik, O. (Algebra and Discrete Mathematics, 2020)
    A Hausdorff topology τ on the bicyclic monoid with adjoined zero C⁰ is called weak if it is contained in the coarsest inverse semigroup topology on C⁰. We show that the lattice W of all weak shift-continuous topologies on ...
  • On the lattice oscillator-type Kirkwood–Salsburg equation with attractive many-body potentials 
    Skrypnik, W.I. (Український математичний журнал, 2010)
    We consider a lattice oscillator-type Kirkwood–Salsburg (KS) equation with general one-body phase measurable space and many-body interaction potentials. For special choices of the measurable space, its solutions describe ...
  • On the Law of Addition of Random Matrices: Covariance of Traces of Resolvent for Random Summands 
    Vasilchuk, V. (Журнал математической физики, анализа, геометрии, 2010)
    We consider the ensemble of n£n random matrices Hn = An+U†n BnUn, where An and Bn are random Hermitian (real symmetric) matrices, having the limiting Normalized Counting Measures of eigenvalues, and Un is unitary (orthogonal) ...
  • On the le-semigroups whose semigroup of bi-ideal elements is a normal band 
    Bhuniya, A.K.; Kumbhakar, M. (Algebra and Discrete Mathematics, 2015)
    It is well known that the semigroup B(S) of all bi-ideal elements of an le-semigroup S is a band if and only if S is both regular and intra-regular. Here we show that B(S) is a band if and only if it is a normal band and ...
  • On the Lie algebra structures connected with Hamiltonian dynamical systems 
    Smirnov, R.G. (Український математичний журнал, 1997)
    We construct the hierarchies of master symmetries constituting Virasoro-type algebras for the Hamiltonian vector fields preserving a recursion operator. Similarly, repeatedly contracting a Hamiltonian vector field with the ...
  • On the Lie ring of derivations of a semiprime ring 
    Artemovych, O.D.; Kular, K. (Algebra and Discrete Mathematics, 2014)
    We prove that the Lie ring of derivations of a semiprime ring is either trivial or non-nilpotent.
  • On the lifetime of metastable metallic hydrogen 
    Burmistrov, S.N.; Dubovskii, L.B. (Физика низких температур, 2017)
    The molecular phase of hydrogen converts to the atomic metallic phase at high pressures estimated usually as 300–500 GPa. We analyze the zero-temperature decay of metallic phase as the pressure is relieved below the ...
  • On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials 
    Koornwinder, T.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials. This is extended to a multi-parameter limit with 3 parameters, also ...