Browsing 2019 by Issue Date

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  • Geometry of flocks and n-ary groups Sonia Dog 
    Protasov, I. V. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    Semiabelinan flocks and n-ary groups are charac- terized by the properties of parallelograms and vectors of the affine geometry defined by these flocks and n-ary groups.
  • The classification of serial posets with the non-negative quadratic tits form being principal 
    Bondarenko, V.; Styopochkina, M. (2019)
    Using (introduced by the first author) the method of (min, max)-equivalence, we classify all serial principal posets, i.e. the posets S satisfying the following conditions: (1) the quadratic Tits form qS(z) : Z |S|+1 ...
  • Classification of homogeneous Fourier matrices Gurmail Singh 
    Singh, G. (2019)
    Modular data are commonly studied in mathe- matics and physics. A modular datum defines a finite-dimensional representation of the modular group SL2(Z). In this paper, we show that there is a one-to-one correspondence ...
  • On the number of topologies on a finite set 
    Kizmaz, M. Y. (2019)
    We denote the number of distinct topologies which can be defined on a set X with n elements by T(n). Similarly, T0(n) denotes the number of distinct T0 topologies on the set X. In the present paper, we prove that for ...
  • A family of doubly stochastic matrices involving chebyshev polynomials 
    Ahmed, T.; Caballero, J.M.R. (2019)
    A doubly stochastic matrix is a square matrix A = (aij ) of non-negative real numbers such that P i aij = P j aij = 1. The Chebyshev polynomial of the first kind is defined by the recur- rence relation T0(x) = ...
  • Cohen–Macaulay modules over the plane curve singularity of type T44, II 
    Drozd, Y. A.; Tovpyha, O. V. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    We accomplish the classification of Cohen–Macaulay modules over the curve singularities of type T44 and the description of the corresponding matrix factorizations, started in.
  • Some combinatorial characteristics of closure operations Nguyen Hoang Son and Vu Duc Thi 
    Artamonov, V. A. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    Functional dependencies (FDs) play an important role the relational database theory. The equivalence of the family of FDs is one of the hottest topics that get a lot of attention and interest currently. There are ...
  • Additivity of elementary maps on alternative rings B. L. M. Ferreira 
    Shestakov, I. P. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    Let R and R′ be alternative rings. In this article we investigate the additivity of surjective elementary maps of R × R′ . As a main theorem, we prove that if R contains a non-trivial idempotent satisfying some conditions, ...
  • Lie algebras of derivations with large abelian ideals 
    Klymenko, I. S.; Lysenko, S. V.; Petravchuk, A. P. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
  • Globalizations for partial (co)actions on coalgebras 
    Castro, F .; Quadros, G . (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    In this paper, we introduce the notion of globalization for partial module coalgebra and for partial comodule coalgebra. We show that every partial module coalgebra is globalizable exhibiting a standard globalization. We ...
  • On some Leibniz algebras, having small dimension 
    Yashchuk, V . S . (2019)
    The first step in the study of all types of algebras is the description of such algebras having small dimensions. The structure of 3-dimensional Leibniz algebras is more complicated than 1 and 2-dimensional cases. In this ...
  • Commutator subgroups of the power subgroups of generalized Hecke groups 
    Koruoğlu, Ö .; Meral, T.; Sahin, R. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    Let p, q > 2 be relatively prime integers and let Hp,q be the generalized Hecke group associated to p and q. The generalized Hecke group Hp,q is generated by X(z) = −(z − λp)−1 and Y (z) = −(z + λq) −1 where λp = 2 cos ...
  • On the inclusion ideal graph of a poset 
    Jahanbakhsh, N .; Nikandish, R.; Nikmehr, M. J . (2019)
    Let (P, 6) be an atomic partially ordered set (poset, briefly) with a minimum element 0 and I(P) the set of nontrivial ideals of P. The inclusion ideal graph of P, denoted by Ω(P), is an undirected and simple graph with ...
  • Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring II, Quasilocal Case 
    Vadhel, P.; Visweswaran, S. (2019)
    The rings we consider in this article are com- mutative with identity 1 6= 0 and are not fields. Let R be a ring. We denote the collection of all proper ideals of R by I(R) and the collection I(R) \ {(0)} by I(R) ∗ . ...
  • On the existence of degree-magic labellings of the n-fold self-union of complete bipartite graphs 
    Simson, D. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    Magic rectangles are a classical generalization of the well-known magic squares, and they are related to graphs. A graph G is called degree-magic if there exists a labelling of the edges by integers 1, 2, . . . , |E(G)| ...

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