Browsing 2018 by Issue Date

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  • Connectedness of spheres in Cayley graphs 
    Brieussel, J.; Gournay, A. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    We introduce the notion of connection thickness of spheres in a Cayley graph, related to dead-ends and their retreat depth. It was well-known that connection thickness is bounded for finitely presented one-ended groups. ...
  • Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem 
    González, F. G.; Velásquez, R. (2018)
    An analogue of the Wedderburn Principal The- orem (WPT) is considered for finite-dimensional Jordan superal- gebras A with solvable radical N , N 2 = 0, and such that A/N ∼= Jospn|2m(F), where F is a field of ...
  • Abelian doppelsemigroups 
    Zhuchok, A.V.; Knauer, K. (ДЗ"ЛНУ імені Тараса Шевченко", 2018)
    A doppelsemigroup is an algebraic system consisting of a set with two binary associative operations satisfying certain identities. Doppelsemigroups are a generalization of semi-groups and they have relationships with such ...
  • On the saturations of submodules 
    Paudel, L.; Tchamna, S. (2018)
    Let R ⊆ S be a ring extension, and let A be an R-submodule of S. The saturation of A (in S) by τ is set A[τ] = {x ∈ S : tx ∈ A for some t ∈ τ}, where τ is a multiplicative subset of R. We study properties of saturations ...
  • Gram matrices and Stirling numbers of a class of diagram algebras 
    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 ...
  • Module decompositions via Rickart modules 
    Harmanci, A.; Ungor, B. (2018)
    This work is devoted to the investigation of module decompositions which arise from Rickart modules, socle and radical of modules. In this regard, the structure and several illustrative examples of inverse split modules ...
  • On unicyclic graphs of metric dimension 2 with vertices of degree 4 
    Dudenko, M.; liynyk, B.O. (ДЗ"ЛНУ імені Тараса Шевченко", 2018)
    We show that if G is a unicyclic graph with metric dimension 2 and {a, b} is a metric basis of G then the degree of any vertex v of G is at most 4 and degrees of both a and b are at most 2. The constructions of unispider ...
  • Spectral properties of partial automorphisms of a binary rooted tree 
    Kochubinska, E. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    We study asymptotics of the spectral measure of a randomly chosen partial automorphism of a rooted tree. To every partial automorphism x we assign its action matrix Ax. It is shown that the uniform distribution on eigenvalues ...
  • Unimodality polynomials and generalized Pascal triangles 
    Ahmia, M.; Belbachir, H. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    In this paper, we show that if P(x) = Pm k=0 akx k is a polynomial with nondecreasing, nonnegative coefficients, then the coefficients sequence of P(x s + · · · + x + 1) is unimodal for each integer s > 1. This ...
  • Modules in which every surjective endomorphism has a δ-small kernel 
    Atani, S.E.; Khoramdel, M.; Pishhesar, S.D. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    Hopfian modules, δ-Hopfian modules. In this paper, we introduce the notion of δ-Hopfian modules. We give some properties of these modules and provide a characterization of semisimple rings in terms of δ-Hopfian modules by ...
  • Endomorphisms of Cayley digraphs of rectangular groups 
    Arworn, S.; Gyurov, B.; Nupo, N.; Panma, S. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    Let Cay(S, A) denote the Cayley digraph of the semigroup S with respect to the set A, where A is any subset of S. The function f : Cay(S, A) → Cay(S, A) is called an endo-morphism of Cay(S, A) if for each (x, y) ∈ E(Cay(S, ...
  • A formula for the number of weak endomorphisms on paths 
    Knauer, U.; Pipattanajinda, N. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    A weak endomorphisms of a graph is a mapping on the vertex set of the graph which preserves or contracts edges. In this paper we provide a formula to determine the cardinalities of weak endomorphism monoids of finite ...
  • On k-graceful labeling of pendant edge extension of complete bipartite graphs 
    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 ...
  • A random Bockstein operator 
    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 ...
  • The growth function of the adding machine 
    Skochko, V. (2018)
    We compute the growth function of the generalized adding machine and show that its generating function is not algebraic.
  • Square difference labeling of some union and disjoint union graphs 
    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 ...
  • Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring I, nonquasilocal case 
    Vadhel, P.; Visweswaran, S. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    The rings considered in this article are nonzero commutative with identity which 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) ∗ . ...
  • On the anticommutativity in Leibniz algebras 
    Kurdachenko, L.; Semko, N.; Subbotin, I. (2018)
    Lie algebras are exactly the anticommutative Leibniz algebras. In this article, we conduct a brief analysis of the approach to Leibniz algebras which based on the concept of the anti-center (Lie-center) and antinilpotency ...
  • Cancellable elements of the lattice of semigroup varieties 
    Gusev, S. V.; Skokov, D.V.; Vernikov, B. M . (ДЗ "Луганський національний університет імені Тараса Шевченка", 2018)
    We completely determine all commutative semigroup varieties that are cancellable elements of the lattice SEM of all semigroup varieties. In particular, we verify that a commutative semigroup variety is a cancellable element ...
  • On a graph isomorphic to its intersection graph: self-graphoidal graphs 
    Das, P.K.; Singh, K.R. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    Abstract . A graph G is called a graphoidal graph if there exists a graph H and a graphoidal cover ψ of H such that G ∼= Ω(H, ψ). Then the graph G is said to be self-graphoidal if it is isomorphic to one of its graphoidal ...

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