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Browsing Algebra and Discrete Mathematics. - № 1 (25). - 2018 by Title

Browsing Algebra and Discrete Mathematics. - № 1 (25). - 2018 by Title

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  • 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 ...
  • 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 : ...
  • 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 ...
  • 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 ...
  • 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.
  • 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 ...
  • 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.
  • Periods of Tribonacci sequences and elliptic curves 
    Ait -Amrane, L.; Belbachir, H. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
  • 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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