Browsing 2018 by Issue Date

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  • Automorphisms of the endomorphism semigroup of a free abelian diband 
    Zhuchok, Yu. 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.
  • Neighborhood-prime labeling of some product graphs 
    Patel, S. K.; Shrimali, N. P. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    We have introduced the concept of neighborhood- prime labeling and investigated it for paths, cycles, wheels and union of such graphs earlier. In this paper, we construct neighborhood- prime labelings for graphs that ...
  • Periods of Tribonacci sequences and elliptic curves 
    Ait -Amrane, L.; Belbachir, H. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
  • Construction of a complementary quasiorder 
    Jakubíková -Studenovská, D.; Janičková, L. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    For a monounary algebra A = (A, f) we study the lattice Quord A of all quasiorders of A, i.e., of all reflexive and transitive relations compatible with f. Monounary algebras (A, f) whose lattices of quasiorders are ...
  • A way of computing the Hilbert series 
    Haider, A. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    Let S = K[x1, x2, . . . , xn] be a standard graded K-algebra for any field K. Without using any heavy tools of com- mutative algebra we compute the Hilbert series of graded S-module S/I, where I is a monomial ideal.
  • Characterization of regular convolutions 
    Sagi, S. (2018)
    A convolution is a mapping C of the set Z + of positive integers into the set P(Z +) of all subsets of Z + such that,for any n ∈ Z +, each member of C(n) is a divisor of n. If D(n) is the set of all divisors of n, for any ...
  • Enumeration of strong dichotomy patterns 
    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 ...
  • Cross-cap singularities counted with sign 
    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 ...
  • On certain homological invariant and its relation with Poincaré duality pairs 
    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 ...
  • Global outer connected domination number of a graph 
    Alishahi, M.; Mojdeh, D. A. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    For a given graph G = (V, E), a dominating set D ⊆ V (G) is said to be an outer connected dominating set if D = V (G) or G − D is connected. The outer connected domination number of a graph G, denoted by γec(G), is the ...
  • Modules which have a rad-supplement that is a direct summand in every extension 
    Türkmen, B.N. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    In this paper, we introduce the concept of mod- ules with the properties (RE) and (SRE), and we provide various properties of these modules. In particular, we prove that a semisimple module M is Rad-supplementing if ...
  • On functional equations and distributive second order formulae with specialized quantifiers 
    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 ...
  • On application of linear algebra in classification cubic s-regular graphs of order 28p 
    Imani, A .; Mehdipoor, N.; Talebi, A. A. (2018)
    A graph is s-regular if its automorphism group acts regularly on the set of s-arcs. In this paper, by applying concept linear algebra, we classify the connected cubic s-regular graphs of order 28p for each s > 1, and prime p.
  • Closure operators in modules and adjoint functors 
    Kashu, A. I. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    In the present work the relations between the closure operators of two module categories are investigated in the case when the given categories are connected by two covariant adjoint functors H : R-Mod −→ S-Mod and T : ...
  • On regular torsionless S-posets 
    Khosravi, R. (2018)
    This paper shall be concerned with the notion of regular torsionless in the category of S-posets. Besides elementary basic properties of regular torsionless S-posets, we consider cyclic regular torsionless S-posets and ...
  • Quasi-valuation maps based on positive implicative ideals in BCK-algebras 
    Jun, Y. B.; Lee, K. J.; Song, S. Z. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    The notion of PI-quasi-valuation maps of a BCK-algebra is introduced, and related properties are investigated.The relationship between an I-quasi-valuation map and a PI-quasivaluation map is examined. Conditions for an ...
  • Some more algebra on ultrafilters in metric spaces 
    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 ...
  • Algebraic Morse theory and homological perturbation theory 
    Sköldberg, E. (2018)
    We show that the main result of algebraic Morse theory can be obtained as a consequence of the perturbation lemma of Brown and Gugenheim.
  • Multiplicative orders of elements in Conway’s towers of finite fields 
    Popovych, R . (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    We give a lower bound on multiplicative ordersof certain elements in defined by Conway towers of finite fields ofcharacteristic 2 and also formulate a condition under that these elements are primitive.
  • Weak equivalence of representations of Kleinian 4-group 
    Plakosh, A. (2018)
    We give a classification of representations of the Kleinian 4-group up to weak equivalence.

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