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Перегляд Algebra and Discrete Mathematics, 2009, Vol. 8 за назвою

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2009, Vol. 8 за назвою

Сортувати за: Порядок: Результатів:

  • On a question of Wiegold and torsion images of Coxeter groups 
    Grigorchuk, R. (Algebra and Discrete Mathematics, 2009)
    We answer positively a question raised byWiegold in Kourovka Notebook and show that every Coxeter group that is not virtually abelian and for which all labels in the corresponding Coxeter graph are powers of 2 or infinity ...
  • On arrangement of subgroups in groups and related topics: some recent developments 
    Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2009)
    Investigation of groups satisfying certain conditions, related to the subgroup arrangement, enabled algebraists to introduce and describe many important classes of groups. The roots of such investigations lie in the works ...
  • On Galois groups of prime degree polynomials with complex roots 
    Oz Ben-Shimol (Algebra and Discrete Mathematics, 2009)
    Let f be an irreducible polynomial of prime degree p≥5 over Q, with precisely k pairs of complex roots. Using a result of Jens Hochsmann (1999), show that if p≥4k+1 then Gal(f/Q) is isomorphic to Ap or Sp. This improves ...
  • On modules over group rings of locally soluble groups for a ring of p -adic integers 
    Dashkova, O.Yu. (Algebra and Discrete Mathematics, 2009)
    The author studies the Zp∞G-module A such that Zp∞ is a ring of p-adic integers, a group G is locally soluble, the quotient module A/CA(G) is not Artinian Zp∞-module, and the system of all subgroups H≤G for which the ...
  • 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.
  • On some generalization of metahamiltonian groups 
    Semko, N.N.; Yarovaya, O.A. (Algebra and Discrete Mathematics, 2009)
    Locally step groups at which all subgroups are or normal, or have Chernikov’s derived subgroup are studied.
  • On speciality of Jordan brackets 
    Shestakov, I. (Algebra and Discrete Mathematics, 2009)
    We conjecture a criterium of speciality for Jordan superalgebras of brackets that generalizes the corresponding criterium for Jordan Poisson superalgebras from [8]. We prove the necessarity condition of the criterium. The ...
  • On subgroups which cover or avoid chief factors of a finite group 
    Ballester-Bolinches, A.; Ezquerro, L.M.; Skiba, A.N. (Algebra and Discrete Mathematics, 2009)
    A classical topic of research in Finite Group Theory is the following: What is the influence on the structure of the group of the fact that all members of some relevant family of subgoups enjoy a given embedding ...
  • 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 ...
  • On verbal subgroups of finitely generated nilpotent groups 
    Bier, A. (Algebra and Discrete Mathematics, 2009)
    The paper concerns the problem of characterization of verbal subgroups in finitely generated nilpotent groups. We introduce the notion of verbal poverty and show that every verbally poor finitely generated nilpotent group ...
  • Partial Hopf actions, partial invariants and a Morita context 
    Marcelo Muniz S. Alves; Batista, E. (Algebra and Discrete Mathematics, 2009)
    Partial actions of Hopf algebras can be considered as a generalization of partial actions of groups on algebras. Among important properties of partial Hopf actions, it is possible to assure the existence of enveloping ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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. ...
  • Some properties of nilpotent groups 
    Gaglione, A.M.; Lipschutz, S.; Spellman, D. (Algebra and Discrete Mathematics, 2009)
    Property S, a finiteness property which can hold in infinite groups, was introduced by Stallings and others and shown to hold in free groups. In [2] it was shown to hold in nilpotent groups as a consequence of a technical ...
  • 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 ...
  • 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 ...
  • 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 ...

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