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Перегляд Algebra and Discrete Mathematics, 2017, Vol. 24, № 1 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2017, Vol. 24, № 1 за датою випуску

Сортувати за: Порядок: Результатів:

  • Jacobsthal-Lucas series and their applications 
    Pratsiovytyi, M.; Karvatsky, D. (Algebra and Discrete Mathematics, 2017)
    In this paper we study the properties of positive series such that its terms are reciprocals of the elements of Jacobsthal-Lucas sequence. In particular, we consider the properties of the set of incomplete sums as well as ...
  • Identities related to integer partitions and complete Bell polynomials 
    Mihoubi, M.; Belbachir, H. (Algebra and Discrete Mathematics, 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 ...
  • Cohomologies of finite abelian groups 
    Drozd, Yu.A.; Plakosh, A.I. (Algebra and Discrete Mathematics, 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.
  • Quantum Boolean algebras 
    Diaz, R. (Algebra and Discrete Mathematics, 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.
  • On divergence and sums of derivations 
    Chapovsky, E.; Shevchyk, O. (Algebra and Discrete Mathematics, 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 K-derivation ...
  • Twin signed domination numbers in directed graphs 
    Atapour, M.; Norouzian, S.; Sheikholeslami, S.M.; Volkmann, L. (Algebra and Discrete Mathematics, 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 domination number ...
  • (G,ϕ) -crossed product on (G,ϕ)-quasiassociative algebras 
    Mamede Albuquerque, H.M.; Félix Barreiro, M.E.; Sánchez Delgado, J.M. (Algebra and Discrete Mathematics, 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 ...
  • On groups whose subgroups of infinite special rank are transitively normal 
    Semko, N.N.; Velychko, T.V. (Algebra and Discrete Mathematics, 2017)
    This paper sheds a light on periodic soluble groups whose subgroups of infinite special rank are transitively normal.
  • Nicolai N. Semko (dedicated to 60-th Birthday) 
    Автор відсутній (Algebra and Discrete Mathematics, 2017)
    We warmly congratulate N. N. Semko on his 60th birthday and wish him strong health and many successful years of research and teaching.
  • Flat extension and phantom homology 
    Bhattacharyya, R. (Algebra and Discrete Mathematics, 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 ...
  • Some aspects of Leibniz algebra theory 
    Kirichenko, V.V.; Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 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 ...

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