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Browsing Algebra and Discrete Mathematics. - № 2 (25). - 2018 by Issue Date

Browsing Algebra and Discrete Mathematics. - № 2 (25). - 2018 by Issue Date

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  • Zhuchok, Yurii V. (ДЗ "Луганський національний університет імені Тараса Шевченка", 2018)
    We determine all isomorphisms between the endomorphism semigroups of free abelian dibands and prove that all automorphisms of the endomorphism semigroup of a free abelian diband are inner.
  • Andrade, M. G. C.; Gazon, A. B.; Lima, A. F. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    Let G be a group, S = {Si , i ∈ I} a non empty family of (not necessarily distinct) subgroups of infinite index in G and M a Z2G-module. In [4] the authors defined a homological invariant E∗(G, S, M), which is ...
  • Bhoumik, S.; Mitra, S. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    For any two positive integers m, n, we denote the graph Km,n ⊙ K1 by G. Ma Ke-Jie proposed a conjecture [9] that pendant edge extension of a complete bipartite graph is a k- graceful graph for k > 2. In this paper we ...
  • Agustín -Aquino, O. A. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    We apply the version of Pólya-Redfield theory obtained by White to count patterns with a given automorphism group to the enumeration of strong dichotomy patterns, that is, we count bicolor patterns of Z2k with respect to ...
  • Zabka, M. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    As more of topology’s tools become popular in analyzing high-dimensional data sets, the goal of understanding the underlying probabilistic properties of these tools becomes even more important. While much attention has ...
  • Krzyżanowska, I. (2018)
    A method for computing the algebraic number of cross-cap singularities for mapping from m-dimensional com- pact manifold with boundary M ⊂ R m into R 2m−1 , m is odd, is presented. As an application, the ...
  • Sherman, Z. (2018)
    The paper deals with methods of constructing square difference labeling of caterpillars and graphs derived from two operations: path union of cycles and disjoint union of stars. The existence of the square difference ...
  • Movsisyan, Yu. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    The structure of invertible algebras with distributive second order formulae with specialized quantifiers is given. Asa consequence, the applications for solutions of the some functional equations of distributivity on ...
  • Protasov, I . (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    We continue algebraization of the set of ultrafilters on a metric spaces initiated in [6]. In particular, we define and study metric counterparts of prime, strongly prime and right cancellable ultrafilters from the Stone-Čech ...
  • Skochko, V. (2018)
    We compute the growth function of the generalized adding machine and show that its generating function is not algebraic.
  • Bi, N. K. (2018)
    In the paper [6], we introduced Gram matrices for the signed partition algebras, the algebra of Z2-relations and the partition algebras. (s1, s2, r1, r2, p1, p2)-Stirling numbers of the second kind are also introduced ...

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