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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:

  • Factorization of matrices over elementary divisor domain 
    Shchedryk, V. (Algebra and Discrete Mathematics, 2009)
    We propose constructive criteria of divisibility and associativity of matrices over commutative elementary divisor ring without zero divisors. On this base, the explicit form for all non-associated divisors which have ...
  • 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 ...
  • Frattini theory for N-Lie algebras 
    Michael Peretzian Williams (Algebra and Discrete Mathematics, 2009)
    We develop a Frattini Theory for n-Lie algebras by extending theorems of Barnes' to the n-Lie algebra setting. Specifically, we show some sufficient conditions for the Frattini subalgebra to be an ideal and find an example ...
  • Groups with finiteness conditions on some subgroup systems: a contemporary stage 
    Dixon, M.R.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2009)
    This paper gives a brief historical survey of results in which certain systems of subgroups of a group satisfy various finiteness conditions.
  • 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 ...
  • Groups with many self-normalizing subgroups 
    M. De Falco; F. de Giovanni; Musella, C. (Algebra and Discrete Mathematics, 2009)
    This paper investigates the structure of groups in which all members of a given relevant set of subgroups are selfnormalizing. In particular, soluble groups in which every nonabelian (or every infinite non-abelian) subgroup ...
  • 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 ...
  • Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups 
    Slupik, A.J.; Sushchansky, V.I. (Algebra and Discrete Mathematics, 2009)
    Minimal generating sets of a Sylow p-subgroup Pn of the symmetric group Spn are characterized. The number of ordered minimal generating sets of Pn is calculated. The notion of the type of a generating set of Pn is introduced ...
  • 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 ...
  • 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 ...

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