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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:

  • A characterization via graphs of the soluble groups in which permutability is transitive 
    Ballester-Bolinches, A.; Cossey, J.; Esteban-Romero, R. (Algebra and Discrete Mathematics, 2009)
    There are different ways to associate to a group a certain graph. In this context, it is interesting to ask for the relations between the structure of the group, given in group-theoretical terms, and the structure of the ...
  • 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 ...
  • 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 ...
  • A Morita context related to finite groups acting partially on a ring 
    Guzman, J.A.; Lazzarin, J. (Algebra and Discrete Mathematics, 2009)
    In this paper we consider partial actions of groups on rings, partial skew group rings and partial fixed rings. We study a Morita context associated to these rings, α-partial Galois extensions and related aspects. Finally, ...
  • 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. ...
  • 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 ...
  • A note on semidirect products and nonabelian tensor products of groups 
    Nakaoka, I.N.; Rocco, N.R. (Algebra and Discrete Mathematics, 2009)
    Let G and H be groups which act compatibly on one another. In [2] and [8] it is considered a group construction η(G,H) which is related to the nonabelian tensor product G⊗H. In this note we study embedding questions of ...
  • 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.
  • A variant of the primitive element theorem for separable extensions of a commutative ring 
    Bagio, D.; Paques, A. (Algebra and Discrete Mathematics, 2009)
    In this article we show that any strongly separable extension of a commutative ring R can be embedded into another one having primitive element whenever every boolean localization of R modulo its Jacobson radical is von ...
  • 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.
  • Codes of groupoids with one-sided quasigroup conditions 
    Ga̷luszka, J. (Algebra and Discrete Mathematics, 2009)
    We propose a method of description of quasigroup conditions defining one-sided quasigroup classes and onesided quasigroup varieties by number codes. This method can be used for all one-sided quasigroups. In order to construct ...
  • Commutative dimonoids 
    Zhuchok, A.V. (Algebra and Discrete Mathematics, 2009)
    We present some congruence on the dimonoid with a commutative operation and use it to obtain a decomposition of a commutative dimonoid.
  • 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 ...

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