Browsing 2004 by Title

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  • Finite group with given c-permutable subgroups 
    Ahmad Alsheik Ahmad (Луганский национальный университет им. Т. Шевченко, 2004)
  • Finite groups with a system of generalized central elements 
    Shemetkova, Olga (Луганский национальный университет им. Т. Шевченко, 2004)
    Let H be a normal subgroup of a finite group G. A number of authors have investigated the structure of G under the assumption that all minimal or maximal subgroups in Sylow subgroups of H are well-situated in G. A general ...
  • Generalized equivalence of collections of matrices and common divisors of matrices 
    Petrychkovych, Vasyl‘ M. (Луганский национальный университет им. Т. Шевченко, 2004)
    The collections (A1, ...,Ak) and (B1, ...,Bk) of matrices over an adequate ring are called generalized equivalent if Ai = UBiVi for some invertible matrices U and Vi, i = 1, ..., k. Some conditions are established under ...
  • Green’s relations on the deformed transformation semigroups 
    Tsyaputa, G. Y. (Луганский национальный университет им. Т. Шевченко, 2004)
  • Groups, in which almost all subgroups are near to normal 
    Semko, M. M.; Kuchmenko, S. M. (Луганский национальный университет им. Т. Шевченко, 2004)
    A subgroup H of a group G is said to be nearly normal, if H has a finite index in its normal closure. These sub- groups have been introduced by B.H. Neumann. In a present paper is studied the groups whose non polycyclic ...
  • Kleinian singularities and algebras generated by elements that have given spectra and satisfy a scalar sum relation 
    Mellit, Anton (Луганский национальный университет им. Т. Шевченко, 2004)
    We consider the algebras ei (Q)ei, where (Q) is the deformed preprojective algebra of weight and i is some vertex of Q, in the case where Q is an extended Dynkin diagram and lies on the hyperplane orthogonal to the ...
  • Minimax sums of posets and the quadratic Tits form 
    Bondarenko, Vitalij M.; Polishchuk, Andrej M. (Луганский национальный университет им. Т. Шевченко, 2003-11-18)
    Dedicated Michael Ringel on the occasion of his sixtieth birthday
  • On associative algebras satisfying the identity x5 = 0 
    Shestakov, Ivan; Zhukavets, Natalia (Луганский национальный университет им. Т. Шевченко, 2004)
  • On autotopies and automorphisms of n-ary linear quasigroups 
    Marini, Alberto; Shcherbacov, Victor (Луганский национальный университет им. Т. Шевченко, 2004)
    In this article we study structure of autotopies, automorphisms, autotopy groups and automorphism groups of n- ary linear quasigroups. We find a connection between automorphism groups of some special kinds of n-ary ...
  • On decompositions of affine Coxeter groups in semi-direct products 
    Jushenko, Ekaterina (Луганский национальный университет им. Т. Шевченко, 2004)
    In this paper we study affine Coxeter groups. We show how to construct decompositions of the investigated groups into semi-direct products. We use this to give the complete list of irreducible representations of affine ...
  • On finitistic dimension of stratified algebras 
    Mazorchuk, Volodymyr (Луганский национальный университет им. Т. Шевченко, 2004)
    In this survey we discuss the results on the fini- tistic dimension of various stratified algebras. We describe what is already known, present some recent estimates, and list some open problems.
  • On growth of the inverse semigroup of partially defined co–finite automorphisms of integers 
    Bezushchak, O. (Луганский национальный университет им. Т. Шевченко, 2004-03-29)
  • On intersections of normal subgroups in groups 
    Kulikova, O. V. (Луганский национальный университет им. Т. Шевченко, 2004)
    The paper is a generalization of. For a group H = hA|Oi, conditions for the equality N1 ∩ N2 = [N1, N2] are given in terms of pictures, where Ni is the normal closure of a set R i ⊂ H for i = 1, 2.
  • On intersections of normal subgroups in groups 
    Kulikova, O. V. (2004)
    The paper is a generalization of . For a group H = hA|Oi, conditions for the equality N1 ∩ N2 = [ N1, N2] are given in terms of pictures, where ¯Ni is the normal closure of a set Ri ⊂ H for i = 1, 2.
  • On lattices, modules and groups with many uniform elements 
    Krempa, Jan (Луганский национальный университет им. Т. Шевченко, 2004)
  • On simple groups of large exponents 
    Sonkin, Dmitriy (Луганский национальный университет им. Т. Шевченко, 2004)
    It is shown that the set of pairwise non-isomorphic 2-generated simple groups of exponent n (n ≥ 248 and n is odd or divisible by 29) is of cardinality continuum. As a corollary, for any sufficiently large n the set of ...
  • On the group of extensions for the bicrossed product construction for a locally compact group 
    Chapovsky, Yu. A.; Kalyuzhnyi, A. A.; Podkolzin, G. B. (Луганский национальный университет им. Т. Шевченко, 2004)
    For the cocycle bicrossed product construction applied to a locally compact group and its two subgroups, we give a simple description of the group of the corresponding extensions in terms of the second cohomology group ...
  • On the spectrum and spectrum multiplicities of a sum of orthogonal projections 
    Kyrychenko, A. A.; Samoˇılenko, Yu. S. (Луганский национальный университет им. Т. Шевченко, 2004)
  • On the Tits alternative for some generalized triangle groups 
    Beniash-Kryvets, Valery; Barkovich, Oxana (Луганский национальный университет им. Т. Шевченко, 2004-02-24)
  • On wildness of idempotent generated algebras associated with extended Dynkin diagrams 
    Bondarenko, Vitalij M. (Луганский национальный университет им. Т. Шевченко, 2004)
    Let denote an extended Dynkin diagram with vertex set 0 = {0, 1, . . . , n}. For a vertex i, denote by S(i) the set of vertices j such that there is an edge joining i and j; one assumes the diagram has a unique vertex ...

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