Browsing 2017 by Title

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  • (G, φ)-crossed product on (G, φ)-quasiassociative algebras 
    Albuquerque, H.; Barreiro, E.; Sánchez-Delgado, J.M. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    The notions of (G, φ)-crossed product and quasicrossed system are introduced in the setting of (G, φ)-quasiassociative algebras, i.e., algebras endowed with a grading by a group G, satisfying a “quasiassociative” law. It ...
  • Galois orders of symmetric differential operators 
    Futorny, V.; Schwarz, J. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    In this survey we discuss the theory of Galois rings and orders developed in by Sergey Ovsienko and the first author. This concept allows to unify the representation theories of Generalized Weyl Algebras and of the ...
  • Generators and ranks in finite partial transformation semigroups 
    Garba, G.U.; Imam, A.T. (2017)
    We extend the concept of path-cycles, defined in [2], to the semigroup Pn, of all partial maps on Xn = {1, 2, . . . , n}, and show that the classical decomposition of permutations into disjoint cycles can be extended ...
  • Identities related to integer partitions and complete Bell polynomials 
    Mihoubi, M.; Belbachir, H. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    Using the (universal) Theorem for the integer partitions and the q-binomial Theorem, we give arithmetical and combinatorial identities for the complete Bell polynomials as generating functions for the number of partitions ...
  • Jacobsthal-Lucas series and their applications 
    Pratsiovytyi, M.; Karvatsky, D. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    In this paper we study the properties of positive series such that its terms are reciprocals of the elements of Jacobsthal-Lucas sequence (Jn+2 = 2Jn+1 + Jn, J1 = 2, J2 = 1). In particular, we consider the properties of ...
  • Lattice rings: an interpretation of L-fuzzy rings as habitual algebraic structures 
    Kurdachenko, L. A; Subbotin, I. Ya.; Yashchuk, V. S. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    In this paper, we introduce some algebraic structure associated with rings and lattices. It appeared as the result of our new approach to the fuzzy rings and L-fuzzy rings where L is a lattice. This approach allows us to ...
  • On disjoint union of M-graphs 
    Kozerenko, S. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    Given a pair (X, σ) consisting of a finite tree X and its vertex self-map σ one can construct the corresponding Markov graph Γ(X, σ) which is a digraph that encodes σ-covering relation between edges in X. M-graphs are ...
  • On divergence and sums of derivations 
    Chapovsky, E.; Shevchyk, O. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    Let K be an algebraically closed field of characteristic zero and A a field of algebraic functions in n variables over K. (i.e. A is a finite dimensional algebraic extension of the field K(x1, . . . , xn) ). If D is a ...
  • On groups whose subgroups of infinite special rank are transitively normal 
    Semko, N.N.; Velychko, T.V. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    This paper sheds a light on periodic soluble groups whose subgroups of infinite special rank are transitively normal.
  • On groups with biprimary subgroups of even order 
    Sokhor, I. (2017)
    We investigate groups in which maximal sub- groups of even order are primary or biprimary. We also research soluble groups with restriction on a number of prime devisors of some proper subgroup orders. We give ...
  • On locally finite groups whose cyclic subgroups are GNA-subgroups 
    Pypka, A.A. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    In this paper we obtain the description of locally finite groups whose cyclic subgroups are GNA-subgroups.
  • On new multivariate cryptosystems with nonlinearity gap 
    Ustimenko, V. (2017)
    The pair of families of bijective multivariate maps of kind Fn and Fn −1 on affine space Kn over finite commutative ring K given in their standard forms has a nonlinearity gap if the degree of Fn is bounded from above ...
  • On recurrence in G-spaces 
    Protasov, I.; Protasova, K. (2017)
    We introduce and analyze the following general concept of recurrence. Let G be a group and let X be a G-space with the action G × X −→ X, (g, x) 7−→ gx. For a family F of subset of X and A ∈ F, we denote ∆F(A) = {g ∈ G ...
  • On representations of the group of order two over local factorial rings in the weakly modular case 
    Bondarenko, V.M.; Stoika, M.V. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    We study representations of the group of order 2 over local factorial rings of characteristic not 2 with residue field of characteristic 2. The main results are related to a sufficient condition of wildness of groups.
  • On the difference between the spectral radius and the maximum degree of graphs∗ 
    Oboudi, M.R. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    Let G be a graph with the eigenvalues λ1(G) >· · · > λn(G). The largest eigenvalue of G, λ1(G), is called the spectral radius of G. Let β(G) = ∆(G) − λ1(G), where ∆(G) is the maximum degree of vertices of G. It is known ...
  • On the genus of the annihilator graph of a commutative ring 
    Chelvam, T. T.; Selvakumar, K. (2017)
    Let R be a commutative ring and Z(R) ∗ be its set of non-zero zero-divisors. The annihilator graph of a commu- tative ring R is the simple undirected graph AG(R) with vertices Z(R) ∗ , and two distinct vertices ...
  • On the representation type of Jordan basic algebras 
    Kashuba, I.; Ovsienko, S.; Shestakov, I. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    A finite dimensional Jordan algebra J over a field k is called basic if the quotient algebra J/ Rad J is isomorphic to a direct sum of copies of k. We describe all basic Jordan algebras J with (Rad J) 2 = 0 of finite and ...
  • On unicyclic graphs of metric dimension 2 
    Dudenko, M.; Oliynyk, B. (2017)
    A metric basis S of a graph G is the subset of vertices of minimum cardinality such that all other vertices are uniquely determined by their distances to the vertices in S. The metric dimension of a graph G is the ...
  • Profinite closures of the iterated monodromy groups associated with quadratic polynomials 
    Samoilovych, I. (2017)
    In this paper we describe the profinite closure of the iterated monodromy groups arising from the arbitrary post- critically finite quadratic polynomial.
  • Quantum Boolean algebras 
    Díaz, R. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    We introduce quantum Boolean algebras which are the analogue of the Weyl algebras for Boolean affine spaces.We study quantum Boolean algebras from the logical and the set theoretical viewpoints.

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