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Перегляд Algebra and Discrete Mathematics, 2015, Vol. 19, № 1 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2015, Vol. 19, № 1 за датою випуску

Сортувати за: Порядок: Результатів:

  • Ustimenko, V. (Algebra and Discrete Mathematics, 2015)
    We propose some multivariate cryptosystems based on finite BN-pair G defined over the fields Fq. We convert the adjacency graph for maximal flags of the geometry of group G into a finite Tits automaton by special colouring ...
  • Romańczuk-Polubiec, U.; Ustimenko, V. (Algebra and Discrete Mathematics, 2015)
    The concept of multivariate bijective map of an affine space Kn over commutative Ring K was already used in Cryptography. We consider the idea of nonbijective multivariate polynomial map Fn of Kn into Kn represented as ...
  • Artemovych, O.D. (Algebra and Discrete Mathematics, 2015)
    We investigate properties of groups with subgroups of finite exponent and prove that a non-perfect group G of infinite exponent with all proper subgroups of finite exponent has the following properties: (1) G is an ...
  • Plotkin, B.; Plotkin, E.; Zhitomirski, G. (Algebra and Discrete Mathematics, 2015)
    The paper is devoted to relations between model theoretic types and logically geometric types. We show that the notion of isotypic algebras can be equally defined through MT-types and LG-types.
  • Drozd, Yu.; Kirichenko, V.; Petravchuk, A.; Sushchansky, V.; Ustimenko, V. (Algebra and Discrete Mathematics, 2015)
    The International Algebraic Conference dedicated to the 100th anniversary of an outstanding mathematician and teacher, the founder of Algebra and Mathematical Logic Department of Taras Shevchenko National University of ...
  • Olshanskii, A.Yu. (Algebra and Discrete Mathematics, 2015)
    In this note, we consider a ’thrifty’ version of Kaluzhnin-Krasner’s embedding in wreath products and apply it to extensions by finite groups and to metabelian groups.
  • Kachi, Y.; Tzermias, P. (Algebra and Discrete Mathematics, 2015)
    We give explicit formulas and recurrences for the m-ary partition numbers and relate them to Toeplitz-Hessenberg determinants. Some of these results are direct analogues of similar statements for the classical (unrestricted) ...
  • Gerdiy, O.; Oliynyk, B. (Algebra and Discrete Mathematics, 2015)
    We prove that every finite permutation group can be represented as the isometry group of some n-semimetric space. We show that if a finite permutation group can be realized as the isometry group of some n-semimetric ...
  • Egri-Nagy, A.; Nehaniv, C.L. (Algebra and Discrete Mathematics, 2015)
    For a given reachable automaton A, we prove that the (state-) endomorphism monoid End(A) divides its characteristic monoid M(A). Hence so does its (state-)automorphism group Aut(A), and, for finite A, Aut(A) is a homomorphic ...
  • Dykema, K.; Juschenko, K. (Algebra and Discrete Mathematics, 2015)
    For an arbitrary field or division ring K and an arbitrary group G, stable finiteness of K[G] is equivalent to direct finiteness of K[G×H] for all finite groups H.
  • Bondarenko, V.M.; Bondarenko, V.V.; Lisykevych, V.A.; Pereguda, Y.M. (Algebra and Discrete Mathematics, 2015)
    We introduce the notion of a deformation distance and calculate the diameter of Dynkin diagrams respect to this distance.
  • Bier, A.; Sushchansky, V. (Algebra and Discrete Mathematics, 2015)
    The paper concerns the Sylow p-subgroups of automorphism groups of level homogeneous rooted trees. We recall and summarize the results obtained by L.Kaluzhnin on the structure of Sylow p-subgroups of isometry groups of ...
  • Benli, M.G.; Grigorchuk, R. (Algebra and Discrete Mathematics, 2015)
    The aim of this note is to prove that there are 2ℵ0 non-isomorphic 2 generated just-infinite branch pro-2 groups.

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