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Перегляд Algebra and Discrete Mathematics, 2012, Vol. 14, № 1 за назвою

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2012, Vol. 14, № 1 за назвою

Сортувати за: Порядок: Результатів:

  • Expansions of numbers in positive Lüroth series and their applications to metric, probabilistic and fractal theories of numbers 
    Zhykharyeva, Yu.; Pratsiovytyi, M. (Algebra and Discrete Mathematics, 2012)
    We describe the geometry of representation of numbers belonging to (0, 1] by the positive Lüroth series, i.e., special series whose terms are reciprocal of positive integers. We establish the geometrical meaning of digits, ...
  • Groups with many pronormal and transitively normal subgroups 
    Kurdachenko, L.A.; Semko (Jr.), N.N.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2012)
    A subgroup H of a group G is said to be transitively normal in G, if H is normal in every subgroup K ≥ H such that H is subnormal in K. We described some infinite groups, whose non–finitely generated subgroups are transitively ...
  • Inner automorphisms of Lie algebras related with generic 2 × 2 matrices 
    Drensky, V.; Fındık, S. (Algebra and Discrete Mathematics, 2012)
    Let Fm = Fm(var(sl₂(K))) be the relatively free algebra of rank m in the variety of Lie algebras generated by the algebra sl₂(K) over a field K of characteristic 0. Translating an old result of Baker from 1901 we present ...
  • Invariants of finite solvable groups 
    Monakhov, V.; Trofimuk, A. (Algebra and Discrete Mathematics, 2012)
    The article contains the results about invariants of solvable groups with given structure of Sylow subgroups and information about the nilpotent π-length of π-solvable groups. Open questions are formulated.
  • Local embeddability 
    Belegradek, O. (Algebra and Discrete Mathematics, 2012)
    For an arbitrary class of algebraic structures we consider a notion of a structure locally embeddable to structures of the class. This generalizes the notion of a group locally embeddable to finite groups studied by Vershik ...
  • Matrix characterization of symmetry groups of boolean functions 
    Jasionowski, P. (Algebra and Discrete Mathematics, 2012)
    We studies symmetry groups of boolean functions and construct new way of description of this problem in matrices language. Some theorems about constructions of symmetry groups with using matrices are presented. Some ...
  • On locally soluble AFN-groups 
    Dashkova, O.Yu. (Algebra and Discrete Mathematics, 2012)
    Let A be an RG-module, where R is a commutative ring, G is a locally soluble group, CG(A) = 1, and each proper subgroup H of G for which A / CA(H) is not a noetherian R-module, is finitely generated. We describe the structure ...
  • On the F-hypercentre of a finite group 
    Skiba, A.N. (Algebra and Discrete Mathematics, 2012)
    Our main goal here is to give a short survey of some recent results of the theory of the F-hypercentre of finite groups.
  • On verbal subgroups in finite and profinite groups 
    Acciarri, C.; Shumyatsky, P. (Algebra and Discrete Mathematics, 2012)
    Let w be a multilinear commutator word. In the present paper we describe recent results that show that if G is a profinite group in which all w-values are contained in a union of finitely (or in some cases countably) many ...
  • Sergei Nikolaevich Chernikov. Memoirs 
    Plotkin, B. (Algebra and Discrete Mathematics, 2012)
    Dedicated to the 100th anniversary of the birth of Sergei Nikolaevich Chernikov.
  • The representation type of elementary abelian p-groups with respect to the modules of constant Jordan type 
    Bondarenko, V.M.; Lytvynchuk, I.V. (Algebra and Discrete Mathematics, 2012)
    We describe the representation type of elementary abelian p-groups with respect to the modules of constant Jordan type and offer two conjectures (for such modules) in the general case, one of which suggests that any non-wild ...

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