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Перегляд Algebra and Discrete Mathematics, 2004, Vol. 3 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2004, Vol. 3 за датою випуску

Сортувати за: Порядок: Результатів:

  • Root vectors of the composition algebra of the Kronecker algebra 
    Chen, X. (Algebra and Discrete Mathematics, 2004)
    According to the canonical isomorphism between the positive part Uq⁺(g) of the Drinfeld–Jimbo quantum group Uq(g) and the generic composition algebra C(∆) of Λ, where the Kac–Moody Lie algebra g and the finite ...
  • Derived tame and derived wild algebras 
    Drozd, Y.A. (Algebra and Discrete Mathematics, 2004)
    We prove that every finite dimensional algebra over an algebraically closed field is either derived tame or derived wild. We also prove that any deformation of a derived wild algebra is derived wild.
  • On lattices, modules and groups with many uniform elements 
    Krempa, J. (Algebra and Discrete Mathematics, 2004)
    The uniform dimension, also known as Goldie dimension, can be defined and used not only in the class of modules, but also in large classes of lattices and groups. For considering this dimension it is necessary to involve ...
  • Conic bundles over real formal power series field 
    Bazyleu, D.F.; Tikhonov, S.V.; Yanchevski, V.I. (Algebra and Discrete Mathematics, 2004)
    We examine some properties of conic bundle rational surface over real formal power series field. We focus on the following problem: When does a conic bundle with prescribed degeneration data exist? We study also an algebraic ...
  • Minimax sums of posets and the quadratic Tits form 
    Bondarenko, V.M.; Polishchuk, A.M. (Algebra and Discrete Mathematics, 2004)
    In this paper we study the structure of infinite posets with positive Tits form. In particular, there arise posets of specific form which we call minimax sums of posets.
  • On associative algebras satisfying the identity x⁵=0 
    Shestakov, I.; Zhukavets, N. (Algebra and Discrete Mathematics, 2004)
    We study Kuzmin’s conjecture on the index of nilpotency for the variety N il₅ of associative nil-algebras of degree 5. Due to Vaughan-Lee [11] the problem is reduced to that for k-generator N il₅-superalgebras, where k ...
  • Categories of lattices, and their global structure in terms of almost split sequences 
    Rump, W. (Algebra and Discrete Mathematics, 2004)
    A major part of Iyama’s characterization of Auslander-Reiten quivers of representation-finite orders Λ consists of an induction via rejective subcategories of Λ-lattices, which amounts to a resolution of Λ as an isolated ...
  • Green’s relations on the deformed transformation semigroups 
    Tsyaputa, G.Y. (Algebra and Discrete Mathematics, 2004)
    Green’s relations on the deformed finite inverse symmetric semigroup ISn and the deformed finite symmetric semigroup Tn are described.
  • Differentially trivial and rigid right semi-artinian rings 
    Artemovych, O.D. (Algebra and Discrete Mathematics, 2004)
    We obtain a characterization of right semi-artinian rings which have only trivial derivations and prove that a rigid (i.e. has only the trivial ring endomorphisms) right semi-artinian ring R is a field or isomorphic to ...
  • Torsion-free groups with every proper homomorphic image an N₁-group 
    Ercan, S. (Algebra and Discrete Mathematics, 2004)
    In this article it is proved that a torsion-free locally nilpotent groups with non-trivial Fitting subgroup and every proper homomorphic image an N₁-group is an N₁-group(and so it is nilpotent).
  • Groups, in which almost all subgroups are near to normal 
    Semko, M.M.; Kuchmenko, S.M. (Algebra and Discrete Mathematics, 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 subgroups have been introduced by B.H. Neumann. In a present paper is studied the groups whose non polycyclic ...
  • On the spectrum and spectrum multiplicities of a sum of orthogonal projections 
    Kyrychenko, A.A.; Samoılenko, Yu.S. (Algebra and Discrete Mathematics, 2004)
    Let H be a unitary (finite dimensional Hilbert) space. It is known [1] that a self-adjoint operator on H, A = A* ≥ 0, is a sum of n orthogonal projections for some n ∈ N if and only if 1) tr A ∈ N∪{0}, 2) tr A ≥ dim Im A ...
  • Clones of full terms 
    Denecke, K.; Jampachon, P. (Algebra and Discrete Mathematics, 2004)
    In this paper the well-known connection between hyperidentities of an algebra and identities satisfied by the clone of this algebra is studied in a restricted setting, that of n-ary full hyperidentities and identities ...
  • On the group of extensions for the bicrossed product construction for a locally compact group 
    Chapovsky, Yu.A.; Kalyuzhnyi, A.A.; Podkolzin, G.B. (Algebra and Discrete Mathematics, 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 ...
  • Generalized equivalence of collections of matrices and common divisors of matrices 
    Petrychkovych, V.M. (Algebra and Discrete Mathematics, 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 ...
  • C*-algebra generated by four projections with sum equal to 2 
    Savchuk, Y. (Algebra and Discrete Mathematics, 2004)
    We describe the C*-algebra generated by four orthogonal projections p₁,p₂,p₃,p₄, satisfying the linear relation p₁ + p₂ + p₃ + p₄ = 2I. The simplest realization by 2 × 2-matrixfunctions over the sphere S² is given.
  • Dimensions of finite type for representations of partially ordered sets 
    Drozd, Y.A.; Kubichka, E.A. (Algebra and Discrete Mathematics, 2004)
    We consider the dimensions of finite type of representations of a partially ordered set, i.e. such that there is only finitely many isomorphism classes of representations of this dimension. We give a criterion for a ...
  • Finite groups with a system of generalized central elements 
    Shemetkova, O. (Algebra and Discrete Mathematics, 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 ...
  • Some applications of Hasse principle for pseudoglobal fields 
    Andriychuk, V. (Algebra and Discrete Mathematics, 2004)
    Some corollaries of the Hasse principle for Brauer group of a pseudoglobal field are obtained. In particular we prove Hasse-Minkowski theorem on quadratic forms over pseudoglobal field and the Hasse principle for quadratic ...
  • Partial resolutions in monoid cohomology 
    Grillet, P.A. (Algebra and Discrete Mathematics, 2004)
    Partial resolutions are constructed for the EilenbergMacLane cohomology of monoids, with applications to examples.

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