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Перегляд Algebra and Discrete Mathematics, 2009, Vol. 8 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2009, Vol. 8 за датою випуску

Сортувати за: Порядок: Результатів:

  • On action of outer derivations on nilpotent ideals of Lie algebras 
    Maksimenko, D.V. (Algebra and Discrete Mathematics, 2009)
    Action of outer derivations on nilpotent ideals of Lie algebras are considered. It is shown that for a nilpotent ideal I of a Lie algebra L over a field F the ideal I+D(I) is nilpotent, provided that charF=0 or I nilpotent ...
  • Algebra in the Stone-Čech compactification: applications to topologies on groups 
    Protasov, I.V. (Algebra and Discrete Mathematics, 2009)
    For every discrete group G, the Stone-Čech compactification βG of G has a natural structure of compact right topological semigroup. Assume that G is endowed with some left invariant topology I and let τ¯ be the set of all ...
  • Tiled orders of width 3 
    Zhuravlev, V.; Zhuravlyov, D. (Algebra and Discrete Mathematics, 2009)
    We consider projective cover over tiled order and calculate the kernel of epimorphism from direct sum of submodules of distributive module to their sum.
  • Weak comultiplication modules over a pullback of commutative local Dedekind domains 
    Reza Ebrahimi Atani; Shahabaddin Ebrahimi Atani (Algebra and Discrete Mathematics, 2009)
    The goal point of recent attempts to classify indecomposable modules over non-artinian rings has been pullback rings. The purpose of this paper is to outline a new approach to the classification of indecomposable weak ...
  • All difference family structures arise from groups 
    Boykett, T. (Algebra and Discrete Mathematics, 2009)
    Planar nearrings have been used to define classes of 2-designs since Ferrero's work in 1970. These 2-designs are a class of difference families. Recent work from Pianta has generalised Ferrero and Clay's work with planar ...
  • Prime radical of Ore extensions over δ -rigid rings 
    Bhat, V.K. (Algebra and Discrete Mathematics, 2009)
    Let R be a ring. Let σ be an automorphism of R and δ be a σ-derivation of R. We say that R is a δ-rigid ring if aδ(a)∈P(R) implies a∈P(R), a∈R; where P(R) is the prime radical of R. In this article, we find a relation ...
  • Some classes of directoid groups 
    Gardner, B.J.; Parmenter, M.M. (Algebra and Discrete Mathematics, 2009)
    Directoid groups are 2-torsion-free abelian groups with an extra binary operation assigning upper bounds. They thus constitute a generalization of abelian l-groups and an equational substitute for directed abelian groups. ...
  • The central polynomials for the finite dimensional Grassmann algebras 
    Koshlukov, P.; Krasilnikov, A.; Elida Alves da Silva (Algebra and Discrete Mathematics, 2009)
    In this note we describe the central polynomials for the finite dimensional unitary Grassmann algebras Gk over an infinite field F of characteristic ≠2. We exhibit a set of generators of C(Gk), the T-space of the central ...
  • A note on a problem due to Zelmanowitz 
    Rodrigues, V.S.; Sant’Ana, A.A. (Algebra and Discrete Mathematics, 2009)
    In this paper we consider a problem due to Zelmanowitz. Specifically, we study under what conditions a uniform compressible module whose nonzero endomorphisms are monomorphisms is critically compressible. We give a positive ...
  • On the quasi-primary decomposition of HK-torsion theories 
    Komarnytskyi, M.; Melnyk, I. (Algebra and Discrete Mathematics, 2009)
    The paper is devoted to the study of quasi-primary decompositions of torsion theories in the rings which derivatives. It is shown that every HK-torsion theory of the differential noetherian completely bounded ring it is ...
  • Semisimple group codes and dihedral codes 
    Dutra, F.S.; Ferraz, R.A.; Milies, C.P. (Algebra and Discrete Mathematics, 2009)
    We consider codes that are given as two-sided ideals in a semisimple finite group algebra FqG defined by idempotents constructed from subgroups of G in a natural way and compute their dimensions and weights. We give a ...
  • On some aspects of the theory of modules over group rings 
    Kirichenko, V.V.; Dashkova, O.Yu. (Algebra and Discrete Mathematics, 2009)
    The authors discuss some recent developments in the theory of modules over group rings.
  • Groups with small cocentralizers 
    Javier Otal; Semko, N.N. (Algebra and Discrete Mathematics, 2009)
    Let G be a group. If S⊆G is a G-invariant subset of G, the factor-group G/CG(S) is called the cocentralizer of S in G. In this survey-paper we review some results dealing with the influence of several cocentralizers on the ...
  • A new characterization of groups with central chief factors 
    Juriaans, O.S.; Raphael, D.M. (Algebra and Discrete Mathematics, 2009)
    In [1] it is proved that a locally nilpotent group is an (X)-group arising the question whether the converse holds. In this paper we derive some interesting properties and give a complete characterization of (X)-groups. ...
  • Groups with many generalized FC-subgroup 
    Russo, A.; Vincenzi, G. (Algebra and Discrete Mathematics, 2009)
    Let FC⁰ be the class of all finite groups, and for each non-negative integer n define by induction the group class FCⁿ⁺¹ consisting of all groups G such that the factor group G/CG(xG) has the property FCⁿ for all elements ...
  • The structure of infinite dimensional linear groups satisfying certain finiteness conditions 
    Jose M. Munoz-Escolano; Javier Otal; Semko, N.N. (Algebra and Discrete Mathematics, 2009)
    We review some recent results on the structure of infinite dimensional linear groups satisfying some finiteness conditions on certain families of subgroups. This direction of research is due to Leonid A. Kurdachenko, who ...
  • Finding proper factorizations in finite groups 
    Kirtland, J. (Algebra and Discrete Mathematics, 2009)
    One focus in group theory has been to establish the properties of a finite group that can be written as the product of two proper subgroups whose properties are known. The investigation here will proceed in the other ...
  • A survey on pairwise mutually permutable products of finite groups 
    Ballester-Bolinches, A.; Beidleman, J.C.; Heineken, H.; Pedraza-Aguilera, M.C. (Algebra and Discrete Mathematics, 2009)
    In this paper we present some recent results about pairwise mutually permutable products and classes of groups related to the saturated formation of all supersoluble groups.
  • Classification of irreducible non-dense modules for A₂⁽²⁾ 
    Bunke, T. (Algebra and Discrete Mathematics, 2009)
    We obtain a classification of the supports of irreducible A₂⁽²⁾-modules. In particular, we get a classification of all non-dense irreducible A₂⁽²⁾-modules with at least one finite-dimensional weight subspace.
  • Rings of functions on non-abelian groups 
    Maxson, C.J. (Algebra and Discrete Mathematics, 2009)
    For several classes of finite nonabelian groups we investigate the structure of the ring of functions, R(C), determined by the cover C of maximal abelian subgroups. We determine the Jacobson radical J(R(C)) and the semisimple ...

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