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Перегляд Algebra and Discrete Mathematics, 2012, Vol. 13, Vol. 14 за назвою

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2012, Vol. 13, Vol. 14 за назвою

Сортувати за: Порядок: Результатів:

  • Finite local nearrings on metacyclic Miller-Moreno p-groups 
    Raievska, I.Yu.; Sysak, Ya.P. (Algebra and Discrete Mathematics, 2012)
    In this paper the metacyclic Miller-Moreno p-groups which appear as the additive groups of finite local nearrings are classified.
  • 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 0-semisimplicity of linear hulls of generators for semigroups generated by idempotents 
    Bondarenko, V.; Tertychna, O. (Algebra and Discrete Mathematics, 2012)
    Let I be a finite set (without 0) and J a subset of I × I without diagonal elements. Let S(I, J) denotes the semigroup generated by e₀ = 0 and ei, i ∈ I, with the following relations: e²i = ei for any i ∈ I, eiej = 0 for ...
  • One branch curve singularities with at most 2-parameter families of ideals 
    Drozd, Yu.A.; Skuratovskii, R.V. (Algebra and Discrete Mathematics, 2012)
    A criterion is given in order that the ideals of a one branch curve singularity form at most 2-parameter families. Namely, we present a list of plane curve singularities from the Arnold's classification which are the ...
  • On factorizations of limited solubly ω-saturated formations 
    Selkin, V. (Algebra and Discrete Mathematics, 2012)
    If F = F₁…Ft is the product of the formations F₁,…,Ft and F ≠ F₁…Fi−₁Fi+₁…Ft for all i = 1,…,t, then we call this product a non-cancellative factorization of the formation F. In this paper we gives a description of ...
  • On hypercentral fyzzy groups 
    Kurdachenko, L.A.; Grin, K.O.; Turbay, N.A. (Algebra and Discrete Mathematics, 2012)
    In an arbitrary fuzzy group we construct the upper central series and consider some its properties. In particular, the characterization of nilpotent fuzzy group has been obtained.
  • On inverse operations in the lattices of submodules 
    Kashu, A.I. (Algebra and Discrete Mathematics, 2012)
    In the lattice L(RM) of submodules of an arbitrary left R-module RM four operation were introduced and investigated in the paper [3]. In the present work the approximations of inverse operations for two of these operations ...
  • 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 radical square zero rings 
    Ringel, C.M.; Xiong, B.-L. (Algebra and Discrete Mathematics, 2012)
    Let Λ be a connected left artinian ring with radical square zero and with n simple modules. If Λ is not self-injective, then we show that any module M with Exti(M, Λ) = 0 for 1 ≤ i ≤ n + 1 is projective. We also determine ...
  • On S-quasinormally embedded subgroups of finite groups 
    Al-Sharo, Kh.A.; Shemetkova, O.; Xiaolan Yi (Algebra and Discrete Mathematics, 2012)
    Let G be a finite group. A subgroup A is called:1) S-quasinormal in G if A is permutable with all Sylow subgroups in G 2) S-quasinormally embedded in G if every Sylow subgroup of A is a Sylow subgroup of some S-quasinormal ...
  • On the contribution of D.I. Zaitsev to the Theory of Infinite Groups 
    Kirichenko, V.V.; Kurdachenko, L.A.; Otal, J.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2012)
    We survey the most outstanding contributions due to D.I. Zaitsev in the Theory of Infinite Groups.
  • 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 ...
  • Orthoscalar representations of the partially ordered set (N, 4) 
    Kruglyak, S.A.; Livinsky, I.V. (Algebra and Discrete Mathematics, 2012)
    We obtain a one-parameter series of orthoscalar representations of the partially ordered set (N, 4). This proves that the classification of such representations is a problem of infinite type.
  • Partitions of groups into sparse subsets 
    Protasov, I. (Algebra and Discrete Mathematics, 2012)
    A subset A of a group G is called sparse if, for every infinite subset X of G, there exists a finite subset F ⊂ X, such that ∩x∈FxA is finite. We denote by η(G) the minimal cardinal such that G can be partitioned in η(G) ...
  • Prethick subsets in partitions of groups 
    Protasov, I.V.; Slobodianiuk, S. (Algebra and Discrete Mathematics, 2012)
    A subset S of a group G is called thick if, for any finite subset F of G, there exists g ∈ G such that Fg ⊆ S, and k-prethick, k ∈ N if there exists a subset K of G such that |K| = k and KS is thick. For every finite ...

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