Browsing 2005 by Issue Date

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  • Theohari-Apostolidi, Th.; Vavatsoulas, H. (Луганский национальный университет им. Т. Шевченко, 2005)
    Let G be a finite group and let = g2G g be a strongly G-graded R-algebra, where R is a commutative ring with unity. We prove that if R is a Dedekind domain with quotient field K, is an R-order in a separable K-algebra ...
  • 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.
  • 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 ...
  • Lavrenyuk, Yaroslav V.; Sushchansky, Vitaly I. (Луганский национальный университет им. Т. Шевченко, 2005)
    The results on automorphisms of homogeneous alternating groups are corrected and improved.
  • Petrychkovych, Vasyl‘ M. (Луганский национальный университет им. Т. Шевченко, 2005)
    We correct some misprints and other oversights in the paper mentioned in the title.
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...

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