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

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

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  • 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 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 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 ...
  • 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 ...
  • 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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