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Перегляд Algebra and Discrete Mathematics, 2004, Vol. 3 за назвою

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2004, Vol. 3 за назвою

Сортувати за: Порядок: Результатів:

  • A note to my paper “Multi-algebras from the viewpoint of algebraic logic” 
    Cırulis, J. (Algebra and Discrete Mathematics, 2004)
    The definition of a resolvent, introduced in the paper mentioned in the title, is simplified, and some misprints in that paper are corrected.
  • Basic semigroups: theory and applications 
    Ponizovskii, J.S. (Algebra and Discrete Mathematics, 2004)
    A concept of basic matrix semigroups over fields (with some variations) is introduced and throughly investigated. Sections 1 and 2 contain main definitions, Section 3 treats some properties of basic semigroups, Section ...
  • 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.
  • 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 ...
  • 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 ...
  • 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 ...
  • Correct classes of modules 
    Wisbauer, R. (Algebra and Discrete Mathematics, 2004)
    For a ring R, call a class C of R-modules (pure-) mono-correct if for any M, N ∈ C the existence of (pure) monomorphisms M → N and N → M implies M ≃ N. Extending results and ideas of Rososhek from rings to modules, it ...
  • 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.
  • Description of the center of certain quotients of the Temperley-Lieb algebra of type ĀN 
    Vlasenko, M. (Algebra and Discrete Mathematics, 2004)
    In this paper we consider a family of associative algebras, given via generators and relations.
  • 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 ...
  • 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 ...
  • Finite group with given c-permutable subgroups 
    Ahmad Alsheik Ahmad (Algebra and Discrete Mathematics, 2004)
    Following [1] we say that subgroups H and T of a group G are c-permutable in G if there exists an element x ∈ G such that HTˣ = TˣH. We prove that a finite soluble group G is supersoluble if and only if every maximal ...
  • 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 ...
  • 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.
  • 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 ...
  • Kleinian singularities and algebras generated by elements that have given spectra and satisfy a scalar sum relation 
    Mellit, A. (Algebra and Discrete Mathematics, 2004)
    We consider the algebras eiΠλ (Q)ei , where Πλ (Q) is the deformed preprojective algebra of weight λ and i is some vertex of Q, in the case where Q is an extended Dynkin diagram and λ lies on the hyperplane orthogonal ...
  • 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 ...
  • On autotopies and automorphisms of n-ary linear quasigroups 
    Marini, A.; Shcherbacov, V. (Algebra and Discrete Mathematics, 2004)
    In this article we study structure of autotopies, automorphisms, autotopy groups and automorphism groups of nary linear quasigroups. We find a connection between automorphism groups of some special kinds of n-ary ...

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