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  • Didukh, L.; Kramar, O. (Condensed Matter Physics, 2003)
    The present paper considers the ground state ferromagnetic ordering in a generalized Hubbard model with correlated hopping and interatomic exchange interaction in the case of strong correlations at non-integer band filling. ...
  • Verkholyak, T.; Strečka, J. (Condensed Matter Physics, 2013)
    The quantum spin-1/2 two-leg ladder with an anisotropic XYZ Heisenberg intra-rung interaction and Ising inter-rung interactions is treated by means of a rigorous approach based on the unitary transformation. The particular ...
  • Paul, S.; Ghosh, A.K. (Condensed Matter Physics, 2017)
    Ground state properties, dispersion relations and scaling behaviour of spin gap of a bond alternating spin- 1/2 anisotropic Heisenberg chain have been studied where the exchange interactions on alternate bonds are ...
  • Dinh, T.-C.; Folk, R. (Condensed Matter Physics, 2009)
    Anisotropic antiferromagnets in an external magnetic field show a rich variety of different ground states meeting in transition lines and multicritical points. We study the dependence of the ground states of these systems ...
  • Drozd, Y.A. (Algebra and Discrete Mathematics, 2008)
    We consider actions of groups on categories and bimodules, the related crossed group categories and bimodules, and prove for them analogues of the result know for representations of crossed group algebras and categories.
  • Yeliseyev, Yu.N. (Вопросы атомной науки и техники, 2019)
    The transformation of motion equation of a charged particle placed in crossed longitudinal magnetic field and radial electric one is considered under transition from the laboratory frame of reference to a uniformly rotating ...
  • Nikitin, A.G. (Український математичний вісник, 2005)
    The completed group classification of systems of two coupled nonlinear reaction-diffusion equation with general diffusion matrix is carried out. The simple and convenient method for deduction and solution of classifying ...
  • Nikitin, A.G. (Український математичний журнал, 2007)
    Group classification of systems of two coupled nonlinear reaction-diffusion equations with a general diffusion matrix started in previous author’s works completed in present paper where all nonequivalent equations with ...
  • Lysak, V.V.; Sukhoivanov, I.A.; Petrov, S.I. (Semiconductor Physics Quantum Electronics & Optoelectronics, 2001)
    We present the numerical calculation of N-order chirping mirrors with chirping both high and low refractive index layers using the transfer matrix method. The group delay and group delay dispersion are investigated for ...
  • Arzano, M.; Latini, D.; Lotito, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We present an in-depth investigation of the SL(2,R) momentum space describing point particles coupled to Einstein gravity in three space-time dimensions. We introduce different sets of coordinates on the group manifold and ...
  • Pratsiovytyi, M.V.; Lysenko, I.M.; Maslova, Yu.P. (Algebra and Discrete Mathematics, 2020)
    In the paper, we consider a two-symbol system of encoding for real numbers with two bases having different signs g₀ < 1 and g₁ = g₀ − 1. Transformations (bijections of the set to itself) of interval [0, g₀] preserving tails ...
  • Ionescu, M.; Kumjian, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We define a bundle over a totally disconnected set such that each fiber is homeomorphic to a fractal blowup. We prove that there is a natural action of a Renault-Deaconu groupoid on our fractafold bundle and that the ...
  • Ilyenko, K. (Вопросы атомной науки и техники, 2007)
    Given an explicit construction of the grade star hermitian adjoint representation of osp(2/1;C) graded Lie algebra, we consider the Baker-Campbell-Hausdorff formula and find reality conditions for the Grassmann-odd ...
  • Artemovych, O.D.; Kravets, I.V. (Algebra and Discrete Mathematics, 2007)
    We construct a group D(I, T) associated with the pair (I, T), where I is a nontrivial distributive submodule of a left N-module G, T is a nontrivial subgroup of the unit group U(N) of a right nearring N with an identity ...
  • Anabanti, C.S. (Algebra and Discrete Mathematics, 2021)
    Every locally maximal product-free set S in a finite group G satisfies G = S ∪ SS ∪ S⁻¹S ∪ SS⁻¹ ∪ √S, where SS = {xy | x, y ∈ S}, S⁻¹S = {x⁻¹y | x, y ∈ S}, SS⁻¹ = {xy⁻¹ | x, y ∈ S} and √S = {x ∈ G | x² ∈ S}. To better ...
  • Semko, M.M.; Kuchmenko, S.M. (Algebra and Discrete Mathematics, 2004)
    A subgroup H of a group G is said to be nearly normal, if H has a finite index in its normal closure. These subgroups have been introduced by B.H. Neumann. In a present paper is studied the groups whose non polycyclic ...
  • Oliynyk, A. (Algebra and Discrete Mathematics, 2010)
    The scalar automata as a special class of groups of linear automata over modules are introduced. The groups of scalar automata are classified.
  • Dixon, M.R.; Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2016)
    This is a survey of a number of recent results concerned with groups whose subgroups satisfy certain rank conditions.
  • De Falco, M.; Musella, C. (Algebra and Discrete Mathematics, 2006)
    This paper describes the structure of groups G containing proper subgroups with non-modular subgroup lattice and such that all such subgroups are isomorphic to G.
  • Rajhi, A. (Algebra and Discrete Mathematics, 2020)
    We prove that the groups G for which the lattice of normal subgroups N(G) is factorial are exactly the UND-groups, that is the groups for which every normal subgroup have a unique normal complement, with finite length.