Browsing 2019 by Title

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  • Lie algebras of derivations with large abelian ideals 
    Klymenko, I. S.; Lysenko, S. V.; Petravchuk, A. P. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
  • On certain families of sparse numerical semigroups with Frobenius number even 
    Tizziotti, G.; Villanueva, j. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    This paper is about sparse numerical semigroups and applications in the Weierstrass semigroups theory. We describe and find the genus of certain families of sparse numerical semigroups with Frobenius number even and we ...
  • On cospectral signed digraphs 
    Bhat, M. A.; Naikoo, T. A.; Pirzada, S. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    The set of distinct eigenvalues of a signed digraph S together with their respective multiplicities is called its spectrum. Two signed digraphs of same order are said to be cospectral if they have the same spectrum. In ...
  • On free vector balleans 
    Protasov, I.; Protasova, K. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    A vector balleans is a vector space over R en- dowed with a coarse structure in such a way that the vector opera- tions are coarse mappings. We prove that, for every ballean (X, E), there exists the unique free vector ...
  • On hereditary reducibility of 2-monomial matrices over commutative rings 
    Bondarenko, V. M.; Gildea, J.; Tylyshchak, A. A.; Yurchenko, N.V. (2019)
    A 2-monomial matrix over a commutative ring R is by definition any matrix of the form M(t, k, n) = Φ Ik 0 0 tIn−k , 0 < k < n, where t is a non-invertible element of R, Φ the companion matrix to λ n − 1 and Ik ...
  • On indices and eigenvectors of quivers 
    Dudchenko, I .; lakhotnyk, M.P. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    We study formulas for eigenvectors of strongly connected simply laced quivers in terms of eigenvalues. The relation of these formulas to the isomorphism of quivers is investigated.
  • 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 ...
  • 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)| ...
  • On the Fitting ideals of a multiplication module 
    Hadjirezaei, S.; Karimzadeh, S. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    In this paper, we characterize all finitely gene- rated multiplication R-modules whose the first nonzero Fitting ideal of them is contained in only finitely many maximal ideals. Also, we prove that a finitely generated ...
  • 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 ...
  • On the lattice of cyclic codes over finite chain rings 
    Fotue -Tabue, A .; Mouaha, C. (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 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 ...
  • On the zero forcing number of graphs and their splitting graphs 
    Chacko, B.; Dominic, C.; Premodkumar, K. P. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    In [10], the notion of the splitting graph of a graph was introduced. In this paper we compute the zero forcing number of the splitting graph of a graph and also obtain some bounds besides finding the exact value of ...
  • Paley-type graphs of order a product of two distinct primes 
    Das, A . (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    In this paper, we initiate the study of Paley-type graphs ΓN modulo N = pq, where p, q are distinct primes of the form 4k + 1. It is shown that ΓN is an edge-regular, symmetric, Eulerian and Hamiltonian graph. Also, the ...
  • 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) ∗ . ...
  • Representations of ordered doppelsemigroups by binary relations 
    Zhuchok, Yu .V.; Koppitz, J. (2019)
    We extend the study of doppelsemigroups and introduce the notion of an ordered doppelsemigroup. We construct the ordered doppelsemigroup of binary relations on an arbitrary set and prove that every ordered doppelsemigroup ...
  • Representations of strongly algebraically closed algebras A. Molkhasi and K. P. Shum 
    Simson, D. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    We introduce the notion of q′-compactness for MV-algebras. One of the main results of the paper is a characterization of a class of orthomodular lattices that are horizontal sums of strongly algebraically closed algebras.
  • Solutions of the matrix linear bilateral polynomial equation and their structure 
    Dzhaliuk, N.S .; Petrychkovych, V.M . (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    We investigate the row and column structure of solutions of the matrix polynomial equation A(λ)X(λ) + Y (λ)B(λ) = C(λ), where A(λ), B(λ) and C(λ) are the matrices over the ring of poly- nomials F[λ] with coefficients ...
  • 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 ...
  • 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 ...

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