Digital Repository of Luhansk Taras Shevchenko National University

Browsing Algebra and Discrete Mathematics. - № 1 (24). - 2017 by Title

Browsing Algebra and Discrete Mathematics. - № 1 (24). - 2017 by Title

Sort by: Order: Results:

  • (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 ...
  • 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 ...
  • 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.
  • 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.
  • Some aspects of Leibniz algebra theory 
    Kirichenko, V.V.; Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    One of the key tendencies in the development of Leibniz algebra theory is the search for analogues of the basic results of Lie algebra theory. In this survey, we consider the reverse situation. Here the main attention is ...
  • Twin signed domination numbers in directed graphs 
    Atapour, M.; Norouzian, S.; Sheikholeslami, S.M.; Volkmann, L. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    Let D = (V, A) be a finite simple directed graph (shortly digraph). A function f : V −→ {−1, 1} is called a twin signed dominating function (TSDF) if f(N −[v]) > 1 and f(N +[v]) > 1 for each vertex v ∈ V . The twin signed ...

Search DSpace


Advanced Search

Browse

My Account