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

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

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  • 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 ...
  • 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 ...
  • 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 ...
  • 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.
  • Bhattacharyya, R. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    Phantom homology arises in tight closure theory due to small non-exactness when ‘kernel’ is not equal to ‘image’ but ‘kernel’ is in the tight closure of the ‘image’. In this paper we study a typical flat extension, which ...
  • 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 ...
  • 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 ...
  • 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 ...
  • Drozd, Yu.; Plakosh, A. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    We construct a simplified resolution for the trivial G-module Z, where G is a finite abelian group, and compare it with the standard resolution. We use it to calculate cohomologies of irreducible G-lattices and their duals.
  • 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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