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Browsing Algebra and Discrete Mathematics - №1 - 2005 by Title

Browsing Algebra and Discrete Mathematics - №1 - 2005 by Title

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  • Khibina, Marina (Луганский национальный университет им. Т. Шевченко, 2005)
    A ring A is called an FDI-ring if there exists a decomposition of the identity of A in a sum of finite number of pairwise orthogonal primitive idempotents. We call a primitive idempotent e artinian if the ring eAe is ...
  • Kurdachenko, L. A.; Subbotin, I. Ya. (Луганский национальный университет им. Т. Шевченко, 2005)
    Some properties of abnormal subgroups in generalized soluble groups are considered. In particular, the transitivity of abnormality in metahypercentral groups is proven. Also it is proven that a subgroup H of a radical ...
  • Protasov, I. V.; Protasova, O. I. (Луганский национальный университет им. Т. Шевченко, 2005)
    Let X be a set of cardinality k, F be a family of subsets of X. We say that a cardinal , < k, is a color-detector of the hypergraph H = (X,F) if card (X) for every coloring : X ! k such that card (F) for ...
  • Zabavsky, Bogdan (2005)
    We construct the theory of diagonalizability for matrices over Bezout ring with finite stable range. It is shown that every commutative Bezout ring with compact minimal prime spec- trum is Hermite. It is also shown that ...
  • Dokuchaev, M. A.; Kirichenko, V. V.; Zelensky, A. V.; Zhuravlev, V. N. (Луганский национальный университет им. Т. Шевченко, 2005)
    Let A = (aij) be an integral matrix. We say that A is (0, 1, 2)-matrix if aij 2 {0, 1, 2}. There exists the Gorenstein (0, 1, 2)-matrix for any permutation on the set {1, . . . , n} with- out fixed elements. For every ...
  • Pyekhtyeryev, Vasyl (Луганский национальный университет им. Т. Шевченко, 2005)
    All H−,R− and L−cross-sections of the infinite symmetric inverse semigroup ISX are described.
  • Ustimenko, Vasiliy A. (Луганский национальный университет им. Т. Шевченко, 2005)
    We describe a new algebraic-combinatorial method of public key encryption with a certain similarity to the well known Imai-Matsumoto. We use the general idea to treat vertices of a linguistic graph (see [21] and further ...
  • Gaiduk, T. N.; Sergeichuk, V. V.; Zharko, N. A. (Луганский национальный университет им. Т. Шевченко, 2005)
    V.I. Arnold gave a miniversal deformation of matrices of linear operators; that is, a simple canonical form, to which not only a given square matrix A, but also the family of all matrices close to A, can be reduced by ...
  • Bondarenko, Vitalij M. (Луганский национальный университет им. Т. Шевченко, 2004)
    In this paper we consider the problem on classifying the representations of a pair of posets with involution. We prove that if one of these is a chain of length at least 4 with trivial involution and the other is with ...
  • Savastru, O. V.; Varbanets, P. D. (Луганский национальный университет им. Т. Шевченко, 2005)
    We consider the second power moment of the Epstein zeta-function and construct the asymptotic formula in special case, when '0(u, v) = u2 + Av2, A > 0, A 1, 2(mod 4) and '0(u, v) belongs to the one-class kind G0 of the ...
  • Futorny, Vyacheslav (Луганский национальный университет им. Т. Шевченко, 2005)
    This is an expository paper on some realizations of affine Lie algebras and their representations in terms of differential operators. In particular we recall the classical construction of Wakimoto modules and its recent ...
  • Sushchansky, Vitaly I.; Netreba, Nataliya V. (Луганский национальный университет им. Т. Шевченко, 2005)
    We define a wreath product of a Lie algebra L with the one-dimensional Lie algebra L1 over Fp and determine some properties of this wreath product. We prove that the Lie algebra associated with the Sylow p-subgroup of ...

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