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Перегляд Algebra and Discrete Mathematics, 2019, Vol. 27, Vol. 28 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2019, Vol. 27, Vol. 28 за датою випуску

Сортувати за: Порядок: Результатів:

  • On hereditary reducibility of 2-monomial matrices over commutative rings 
    Bondarenko, V.M.; Gildea, J.; Tylyshchak, A.A.; Yurchenko, N.V. (Algebra and Discrete Mathematics, 2019)
    In this paper we introduce the notion of hereditary reducibility for some matrices and indicate one general condition of the introduced reducibility.
  • On indices and eigenvectors of quivers 
    Dudchenko, I.; Plakhotnyk, M. (Algebra and Discrete Mathematics, 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.
  • Generalized classes of suborbital graphs for the congruence subgroups of the modular group 
    Jaipong, P.; Tapanyo, W. (Algebra and Discrete Mathematics, 2019)
    Let Г be the modular group. We extend a nontrivial Г-invariant equivalence relation on Q to a general relation by replacing the group Г₀(n) by Гк(n), and determine the suborbital graph Fᴷu,n, an extended concept of the ...
  • The lattice of quasivarietes of modules over a Dedekind ring 
    Jedlička, P.; Matczak, K.; Mućka, A. (Algebra and Discrete Mathematics, 2019)
    In 1995 D. V. Belkin described the lattice of quasivarieties of modules over principal ideal domains [1]. The following paper provides a description of the lattice of subquasivarieties of the variety of modules over a given ...
  • On the number of topologies on a finite set 
    Kizmaz, M.Y. (Algebra and Discrete Mathematics, 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 any ...
  • Conjugacy in finite state wreath powers of finite permutation groups 
    Oliynyk, A.; Russyev, A. (Algebra and Discrete Mathematics, 2019)
    It is proved that conjugated periodic elements of the infinite wreath power of a finite permutation group are conjugated in the finite state wreath power of this group. Counter-examples for non-periodic elements are given.
  • On free vector balleans 
    Protasov, I.; Protasova, K. (Algebra and Discrete Mathematics, 2019)
    A vector balleans is a vector space over R endowed with a coarse structure in such a way that the vector operations are coarse mappings. We prove that, for every ballean (X, E), there exists the unique free vector ballean ...
  • Classification of homogeneous Fourier matrices 
    Singh, G. (Algebra and Discrete Mathematics, 2019)
    Modular data are commonly studied in mathematics 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 between ...
  • A Ramsey algebraic study of matrices 
    Teoh, Z.Y.; Teh, W.C. (Algebra and Discrete Mathematics, 2019)
    The notion of a topological Ramsey space was introduced by Carlson some 30 years ago. Studying the topological Ramsey space of variable words, Carlson was able to derive many classical combinatorial results in a unifying ...
  • On certain families of sparse numerical semigroups with Frobenius number even 
    Tizziotti, G.; Villanueva, J. (Algebra and Discrete Mathematics, 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 ...
  • Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring II, Quasilocal Case 
    Visweswaran, S.; Vadhel, P. (Algebra and Discrete Mathematics, 2019)
    The rings we consider in this article are commutative with identity 1 ≠ 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)*. Let H(R) ...
  • Representations of ordered doppelsemigroups by binary relations 
    Zhuchok, Y.V.; Koppitz, J. (Algebra and Discrete Mathematics, 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 ...
  • Volodymyr Kyrychenko (17.06.1942 - 02.04.2019) 
    Автор відсутній (Algebra and Discrete Mathematics, 2019)
    Volodymyr Kyrychenko has gone on April 2, 2019. Student of A. V. Roiter and D. K. Faddeev, Volodymyr Kyrychenko was among the pioneers of the Kyiv school of the Theory of Representations and significantly contributed in ...
  • A family of doubly stochastic matrices involving Chebyshev polynomials 
    Ahmed, T.; Caballero, J.M.R. (Algebra and Discrete Mathematics, 2019)
    A doubly stochastic matrix is a square matrix A = (aij) of non-negative real numbers such that ∑i aij =∑j aij =1. The Chebyshev polynomial of the first kind is defined by the recurrence relation T₀ (x) = 1, T₁ (x) = x, and ...
  • Automorphism groups of superextensions of finite monogenic semigroups 
    Banakh, T.O.; Gavrylkiv, V.M. (Algebra and Discrete Mathematics, 2019)
    A family L of subsets of a set X is called linked if A ∩ B ≠ ∅ for any A,B ∈ L. A linked family M of subsets of X is maximal linked if M coincides with each linked family L on X that contains M. The superextension λ(X) ...
  • On cospectral signed digraphs 
    Bhat, M.A.; Naikoo, T.A.; Pirzada, S. (Algebra and Discrete Mathematics, 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 ...
  • The classification of serial posets with the non-negative quadratic Tits form being principal 
    Bondarenko, V.M.; Styopochkina, M.V. (Algebra and Discrete Mathematics, 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) : Zˢ⁺¹ → Z of ...
  • Globalizations for partial (co)actions on coalgebras 
    Castro, F.; Quadros, G. (Algebra and Discrete Mathematics, 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 ...
  • Solutions of the matrix linear bilateral polynomial equation and their structure 
    Dzhaliuk, N.S.; Petrychkovych, V.M. (Algebra and Discrete Mathematics, 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 polynomials F[λ] with coefficients in field ...
  • Volodymyr Kyrychenko (to the 75th anniversary) 
    Автор відсутній (Algebra and Discrete Mathematics, 2019)

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