Browsing by Subject "алгебра"

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  • 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 ...
  • Multi-algebras from the viewpoint of algebraic logic 
    Cirulis, Janis (Луганский национальный университет им. Т. Шевченко, 2002-10-09)
  • 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 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 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 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 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 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 ...
  • On strongly graded Gorestein orders 
    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 ...
  • 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 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 ...
  • Partial resolutions in monoid cohomology 
    Grillet, P. A. (Луганский национальный университет им. Т. Шевченко, 2004)
    Partial resolutions are constructed for the Eilenberg-MacLane cohomology of monoids, with applications to examples.
  • 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 ...
  • Representations of linear groups over e A2-algebras 
    Timoshin, Anatoliy S. (Луганский национальный университет им. Т. Шевченко, 2004)
    In the space of irreducible unitary representations of a linear group over an algebra of type e A2 an open dense subset of representations in the general position is singled out. This set is identified, up to simple ...
  • Root vectors of the composition algebra of the Kronecker algebra 
    Chen, Xueqing (Луганский национальный университет им. Т. Шевченко, 2003-10-06)
  • Steiner P-algebras 
    Chakrabarti, Sucheta (Луганский национальный университет им. Т. Шевченко, 2005)
    General algebraic systems are able to formalize problems of different branches of mathematics from the algebraic point of view by establishing the connectivity between them. It has lots of applications in theoretical ...
  • Subsets of defect 3 in elementary Abelian 2-groups 
    Novikov, B. V.; Polyakova, L. Yu. (Луганский национальный университет им. Т. Шевченко, 2004)