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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:

  • 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 ...
  • 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 ...
  • 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.
  • 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 ...
  • 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 ...
  • 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 ...
  • 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. ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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.
  • 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 ...
  • 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. ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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.
  • 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.
  • 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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