Browsing 2005 by Title

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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 ...
  • A letter to ADM Editorial board 
    Varbanets, P. D.; Savastru, O. V. (Луганский национальный университет им. Т. Шевченко, 2005)
  • A necessary condition to test the minimality of generalized linear sequential machines using the theory of near-se 
    Kanduru Venkata Krishna; Niladri Chatterjee (ДЗ "Луганський національний університет імені Тараса Шевченка, 2005)
    In this work first we study the properties of nearsemirings to introduce an -radical. Then we observe the role of near-semirings in generalized linear sequential machines, and we test the minimality through the radical.
  • A note on c-normal subgroups of finite groups 
    Skiba, Alexander N. (ДЗ "Луганський національний університет імені Тараса Шевченка, 2005)
    Let G be a finite group. We fix in every noncyclic Sylow subgroup P of G some its subgroup D satisfying 1 <|D| < |P| and study the structure of G under assumption that all subgroups H of P with |H| = |D| are c-normal in G.
  • A note to my paper “Generalized equivalence of collections of matrices and common divisors of matrices” 
    Petrychkovych, Vasyl‘ M. (Луганский национальный университет им. Т. Шевченко, 2005)
    We correct some misprints and other oversights in the paper mentioned in the title.
  • A note to our paper “Automorphisms of homogeneous symmetric groups and hierarchomorphisms of rooted trees” 
    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.
  • Abnormal subgroups and Carter subgroups in some infinite groups 
    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 ...
  • 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 ...
  • Criterions of supersolubility of some finite factorizable grou 
    Legchekova, Helena V. (ДЗ "Луганський національний університет імені Тараса Шевченка, 2005)
    Let A, B be subgroups of a group G and ∅ 6= X ⊆ G. A subgroup A is said to be X-permutable with B if for some x ∈ X we have ABx = BxA. We obtain some new criterions for supersolubility of a finite group G = AB, where A ...
  • Diagonalizability theorems for matrices over rings with finite stable range 
    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 ...
  • Extended G-vertex colored partition algebras as centralizer algebras of symmetric groups 
    Parvathi, M.; Kennedy, A. Joseph (Луганский национальный университет им. Т. Шевченко, 2005)
    The Partition algebras Pk(x) have been defined in [M1] and [Jo]. We introduce a new class of algebras for every group G called “Extended G-Vertex Colored Partition Algebras," denoted by b Pk(x,G), which contain partition ...
  • Gorenstein matrices 
    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 ...
  • 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 ...
  • On bounded m-reducibilities 
    Belyaev, Vladimir N. (Луганский национальный университет им. Т. Шевченко, 2005)
    Conditions for classes F1, F0 of non-decreasing total one-place arithmetic functions to define reducibility m [R1 R0 ] {(A,B)|A,B N & (9 r.f. h)(9f1 2 F1)(9f0 2 F0) [A h m B & f0 E h E f1]} where k E l means that ...
  • On mappings of terms determined by hypersubstitutions 
    Koppitz, J¨org; Shtrakov, Slavcho (ДЗ "Луганський національний університет імені Тараса Шевченка, 2005)
    The extensions of hypersubstitutions are mappings on the set of all terms. In the present paper we characterize all hypersubstitutions which provide bijections on the set of all terms. The set of all such hypersubstitutions ...
  • On posets of width two with positive Tits form 
    Bondarenko, Vitalij M.; Styopochkina, Marina V. (Луганский национальный университет им. Т. Шевченко, 2005)
    We give a complete description of the finite posets of width two with the Tits form to be positive. This problem arises in studying the categories of representations of posets of finite type.
  • On representation type of a pair of posets with involution 
    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 ...
  • On square-Hamiltonian graphs 
    Protasova, K. D. (ДЗ "Луганський національний університет імені Тараса Шевченка, 2005)
    A finite connected graph G is called square-Hamiltonian if G2 is Hamiltonian. We prove that any join of the family of Hamiltonian graphs by tree is square-Hamiltonian. Applying this statement we show that the line graph ...

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