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Перегляд Algebra and Discrete Mathematics, 2019, Vol. 27, № 2 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2019, Vol. 27, № 2 за датою випуску

Сортувати за: Порядок: Результатів:

  • On some Leibniz algebras, having small dimension 
    Yashchuk, V.S. (Algebra and Discrete Mathematics, 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. (Algebra and Discrete Mathematics, 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 = 2cos π/p ...
  • On the inclusion ideal graph of a poset 
    Jahanbakhsh, N.; Nikandish, R.; Nikmehr, M.J. (Algebra and Discrete Mathematics, 2019)
    Let (P,≤) be an atomic partially ordered set (poset, briefly) with a minimum element 0 and 𝕿(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. (Algebra and Discrete Mathematics, 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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) ...
  • 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 ...
  • 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 ...

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