Наукова електронна бібліотека
періодичних видань НАН України

Перегляд Algebra and Discrete Mathematics, 2005, Vol. 4 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2005, Vol. 4 за датою випуску

Сортувати за: Порядок: Результатів:

  • On posets of width two with positive Tits form 
    Bondarenko, V.M.; Styopochkina, M.V. (Algebra and Discrete Mathematics, 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.
  • A note to my paper “Generalized equivalence of collections of matrices and common divisors of matrices” 
    Petrychkovych, V.M. (Algebra and Discrete Mathematics, 2005)
    We correct some misprints and other oversights in the paper mentioned in the title.
  • Topological semigroups of matrix units 
    Gutik, O.V.; Pavlyk, K.P. (Algebra and Discrete Mathematics, 2005)
    We prove that the semigroup of matrix units is stable. Compact, countably compact and pseudocompact topologies τ on the infinite semigroup of matrix units Bλ such that (Bλ,τ ) is a semitopological (inverse) semigroup are ...
  • Two-generated graded algebras 
    Shirikov, E.N. (Algebra and Discrete Mathematics, 2005)
    The paper is devoted to classification of twogenerated graded algebras. We show that under some general assumptions there exist two classes of these algebras, namely quantum polynomials and Jordanian plane. We study prime ...
  • Realizations of affine Lie algebras 
    Futorny, V. (Algebra and Discrete Mathematics, 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 ...
  • On representation type of a pair of posets with involution 
    Bondarenko, V.M. (Algebra and Discrete Mathematics, 2005)
    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 ...
  • A note to our paper “Automorphisms of homogeneous symmetric groups and hierarchomorphisms of rooted trees” 
    Lavrenyuk, Y.V.; Sushchansky, V.I. (Algebra and Discrete Mathematics, 2005)
    The results on automorphisms of homogeneous alternating groups are corrected and improved.
  • Diagonalizability theorems for matrices over rings with finite stable range 
    Zabavsky, B. (Algebra and Discrete Mathematics, 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 spectrum is Hermite. It is also shown that a ...
  • On bounded m-reducibilities 
    Belyaev, V.N. (Algebra and Discrete Mathematics, 2005)
  • On strongly graded Gorestein orders 
    Theohari-Apostolidi, Th.; Vavatsoulas, H. (Algebra and Discrete Mathematics, 2005)
    Let G be a finite group and let Λ = ⊕g∈GΛg 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, Λ is an R-order in a separable K-algebra ...
  • Criterions of supersolubility of some finite factorizable groups 
    Legchekova, H.V. (Algebra and Discrete Mathematics, 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 [1]. We obtain some new criterions for supersolubility of a finite group G = AB, where ...
  • A decomposition theorem for semiprime rings 
    Khibina, M. (Algebra and Discrete Mathematics, 2005)
    A ring A is called an F DI-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 ...
  • H−,R−and L−cross-sections of the infinite symmetric inverse semigroup ISX 
    Pyekhtyeryev, V. (Algebra and Discrete Mathematics, 2005)
    All H−,R− and L−cross-sections of the infinite symmetric inverse semigroup ISX are described.
  • Extended G-vertex colored partition algebras as centralizer algebras of symmetric groups 
    Parvathi, M.; Kennedy, A.J. (Algebra and Discrete Mathematics, 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 Pbk(x,G), which contain partition ...
  • Gorenstein matrices 
    Dokuchaev, M.A.; Kirichenko, V.V.; Zelensky, A.V.; Zhuravlev, V.N. (Algebra and Discrete Mathematics, 2005)
    Let A = (aij ) be an integral matrix. We say that A is (0, 1, 2)-matrix if aij ∈ {0, 1, 2}. There exists the Gorenstein (0, 1, 2)-matrix for any permutation σ on the set {1, . . . , n} without fixed elements. For every ...
  • Abnormal subgroups and Carter subgroups in some infinite groups 
    Kurdachenko, L.A.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2005)
    t. 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 ...
  • Some properties of primitive matrices over Bezout B-domain 
    Shchedryk, V.P. (Algebra and Discrete Mathematics, 2005)
    The properties of primitive matrices (matrices for which the greatest common divisor of the minors of maximal order is equal to 1) over Bezout B - domain, i.e. commutative domain finitely generated principal ideal in ...
  • Maximality of affine group, and hidden graph cryptosystems 
    Ustimenko, A.A. (Algebra and Discrete Mathematics, 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. (Algebra and Discrete Mathematics, 2005)
    V.I. Arnold [Russian Math. Surveys, 26 (no. 2), 1971, pp. 29–43] 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 ...
  • A letter to ADM Editorial board 
    Varbanets, P.D.; Savastru, O.V. (Algebra and Discrete Mathematics, 2005)

Пошук


Розширений пошук

Перегляд

Мій обліковий запис