Digital Repository of Luhansk Taras Shevchenko National University

Browsing Статті by Subject "алгебра"

Browsing Статті by Subject "алгебра"

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  • A decomposition theorem for semiprime rings 
    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 ...
  • Color-detectors of hypergraphs 
    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 ...
  • H−,R− and L−cross-sections of the infinite symmetric inverse semigroup ISх 
    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.
  • Maximality of affine group, and hidden graph cryptosystems 
    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 ...
  • Miniversal deformations of chains of linear mappings 
    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 ...
  • Realizations of affine Lie algebras 
    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 ...
  • Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups 
    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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