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  • An optimization problem of packing identical circles into a multiply connected region. Part 1. A mathematical model and its characteristics 
    Stoyan, Yu.G.; Chugay, A.M. (Проблемы машиностроения, 2011)
    The paper deals with an optimization problem of packing identical circles into a multiply connected region whose frontier consists of arcs of circles and line segments. The approach that allows to reduce solving the problem ...
  • An optimization problem of packing identical circles into a multiply connected region. Part 2. A solution method and its realisation 
    Stoyan, Yu.G.; Chugay, A.M. (Проблемы машиностроения, 2011)
    The paper deals with an optimization problem of packing identical circles into a multiply connected region whose frontier consists of arcs of circles and line segments. On the ground of the characteristics of a mathematical ...
  • A Notable Relation between n-Qubit and 2ⁿ⁻¹-Qubit Pauli Groups via Binary LGr(n,2n) 
    Holweck, F.; Saniga, M.; Lévay, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Employing the fact that the geometry of the n-qubit (n≥2) Pauli group is embodied in the structure of the symplectic polar space W(2n−1,2) and using properties of the Lagrangian Grassmannian LGr(n,2n) defined over the ...
  • A note about splittings of groups and commensurability under a cohomological point of view 
    Maria Gorete Carreira Andrade; Ermınia de Lourdes Campelloi Fanti (Algebra and Discrete Mathematics, 2010)
    Let G be a group, let S be a subgroup with infinite index in G and let FSG be a certain Z2G-module. In this paper, using the cohomological invariant E(G,S,FSG) or simply E~(G,S) (defined in [2]), we analyze some results ...
  • A note on a bound of Adan-Bante 
    Xiaoyou Chen (Український математичний журнал, 2014)
    Let G be a finite solvable group and let χ be a nonlinear irreducible (complex) character of G. Also let η (χ) be the number of nonprincipal irreducible constituents of χχ, where χ denotes the complex conjugate of χ. ...
  • A note on a problem due to Zelmanowitz 
    Rodrigues, V.S.; Sant’Ana, A.A. (Algebra and Discrete Mathematics, 2009)
    In this paper we consider a problem due to Zelmanowitz. Specifically, we study under what conditions a uniform compressible module whose nonzero endomorphisms are monomorphisms is critically compressible. We give a positive ...
  • A note on c-normal subgroups of finite groups 
    Skiba, A.N. (Algebra and Discrete Mathematics, 2005)
    Let G be a finite group. We fix in every noncyclic Sylow subgroup P of G some its subgroup D satisfying 1 < |D| < |P| and study the structure of G under assumption that all subgroups H of P with |H| = |D| are c-normal in G.
  • A Note on Dirac Operators on the Quantum Punctured Disk 
    Klimek, S.; McBride, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We study quantum analogs of the Dirac type operator −2z∂/∂z on the punctured disk, subject to the Atiyah-Patodi-Singer boundary conditions. We construct a parametrix of the quantum operator and show that it is bounded ...
  • A Note on FC-Groups 
    Chernikov, N.S. (Український математичний журнал, 2003)
    Let G be an arbitrary FC-group, let R be its locally soluble radical, and let L/R = L(G/R). We prove that, for N ⊲ G, G/N is residually finite if R ⊆ N ⊆ L.
  • A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere 
    Klimek, S.; McBride, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The goal of this paper is to introduce a class of operators, which we call quantum Dirac type operators on a noncommutative sphere, by a gluing construction from copies of noncommutative disks, subject to an appropriate ...
  • A note on Hall S-permutably embedded subgroups of finite groups 
    Sinitsa, D. (Algebra and Discrete Mathematics, 2017)
    Let G be a finite group. Recall that a subgroup A of G is said to permute with a subgroup B if AB=BA. A subgroup A of G is said to be S-quasinormal or S-permutable in G if A permutes with all Sylow subgroups of G. ...
  • A note on invariant submanifolds of (k, μ)-contact manifolds 
    Avik De (Український математичний журнал, 2010)
    The object of the present paper is to study invariant submanifolds of a (k, μ)-contact manifold and to find the necessary and sufficient conditions for an invariant submanifold of a (k, μ)-contact manifold to be totally geodesic.
  • A Note on Limit Shapes of Minimal Difference Partitions 
    Comtet, A.; Majumdar, S.N.; Sabhapandit, S. (Журнал математической физики, анализа, геометрии, 2008)
    We provide a variational derivation of the limit shape of minimal difference partitions and discuss the link with exclusion statistics
  • A note on maximal ideals in ordered semigroups 
    Kehayopulu, N.; Ponizovskii, J.; Tsingelis, M. (Algebra and Discrete Mathematics, 2003)
    In commutative rings having an identity element, every maximal ideal is a prime ideal, but the converse statement does not hold, in general. According to the present note, similar results for ordered semigroups and ...
  • A note on mixed summation-integral-type operators 
    Gupta, M.K.; Manoj Kumar; Rupen Pratap Singh (Український математичний журнал, 2007)
    Very recently Deo, in the paper “Simultaneous approximation by Lupas operators with weighted function of Szasz operators” [J. Inequal. Pure Appl. Math., 5, No. 4 (2004)] claimed to introduce the integral modifications of ...
  • A note on noncosingular lifting modules 
    Amouzegar Kalati, T.; Keskin Tütüncü, D. (Український математичний журнал, 2012)
    Let R be a right perfect ring. Let M be a noncosingular lifting module that does not have any relatively projective component. Then M has finite hollow dimension.
  • A Note on Operator Equations Describing the Integral 
    König, H.; Milman, V. (Журнал математической физики, анализа, геометрии, 2013)
    We study operator equations generalizing the chain rule and the substitution rule for the integral and the derivative of the type f ○ g + c = I (Tf ○ g ∙ Tg), f, g є C¹(R), (1) where T : C¹ (R) → C(R) and where I is ...
  • A note on semialgebraically proper maps 
    Dae Heui Park (Український математичний журнал, 2014)
    We prove that a semialgebraic map is semialgebraically proper if and only if it is proper. As an application of this assertion, we compare the semialgebraically proper actions with proper actions in a sense of Palais.
  • A note on semidirect products and nonabelian tensor products of groups 
    Nakaoka, I.N.; Rocco, N.R. (Algebra and Discrete Mathematics, 2009)
    Let G and H be groups which act compatibly on one another. In [2] and [8] it is considered a group construction η(G,H) which is related to the nonabelian tensor product G⊗H. In this note we study embedding questions of ...
  • A note on simplicity of contact Lie algebras over GF(2) 
    Zargeh, C. (Algebra and Discrete Mathematics, 2017)
    In this note we investigate the structure of contact Lie algebras when the ground field is of characteristic 2. In order to describe the simple constituent of contact Lie algebras, by using computer algebra system, GAP, ...