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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:

  • 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 ...
  • On decompositions of affine Coxeter groups in semi-direct products 
    Jushenko, E. (Algebra and Discrete Mathematics, 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, V. (Algebra and Discrete Mathematics, 2004)
    In this survey we discuss the results on the finitistic 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. (Algebra and Discrete Mathematics, 2004)
    The inverse semigroup of partially defined co– finite automorphisms of integers is considered. This semigroup is presented by generators and defining relations and its growth function is described.
  • On intersections of normal subgroups in groups 
    Kulikova, O.V. (Algebra and Discrete Mathematics, 2004)
    The paper is a generalization of [2]. For a group H = ‹A|O›, conditions for the equality Ñ₁ ∩ Ñ₂ = Ñ₁, Ñ₂] are given in terms of pictures, where Ñi is the normal closure of a set R¯ i ⊂ H for i = 1, 2.
  • 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 ...
  • On simple groups of large exponents 
    Sonkin, D. (Algebra and Discrete Mathematics, 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 ...
  • 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 ...

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