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Browsing Algebra and Discrete Mathematics. - № 2 (27). - 2019 by Issue Date

Browsing Algebra and Discrete Mathematics. - № 2 (27). - 2019 by Issue Date

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  • Automorphism groups of superextensions of finite monogenic semigroups 
    Banakh, T.; Gavrylkiv, V. (2019)
    A family L of subsets of a set X is called linked if A ∩ B 6= ∅ 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 ...
  • 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 ...
  • 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 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 ...
  • 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 ...
  • 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) = ...
  • 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 ...

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