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Перегляд Algebra and Discrete Mathematics, 2010, Vol. 9, Vol. 10 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2010, Vol. 9, Vol. 10 за датою випуску

Сортувати за: Порядок: Результатів:

  • On some developments in investigation of groups with prescribed properties of generalized normal subgroups 
    Kirichenko, V.V.; Kurdachenko, L.A. (Algebra and Discrete Mathematics, 2010)
    The survey is dedicated to investigation of groups with prescribed properties of generalized normal subgroups. The roots of such investigations lie in the works by R. Dedekind, R. Baer, O.Yu.Schmidt, and S.N. Chernikov. ...
  • Small non-associative division algebras up to isotopy 
    Schwarz, T. (Algebra and Discrete Mathematics, 2010)
    We classify small, non-associative division algebras up to isotopy. We reduce the classification problem to an involved case distinction that a computer program can solve. As a result, we classify algebras with 4, 8, 16, ...
  • Thin systems of generators of groups 
    Lutsenko, I. (Algebra and Discrete Mathematics, 2010)
    A subset T of a group G with the identity e is called k-thin (k∈N) if |A∩gA| ≤ k, |A∩Ag| ≤ k for every g∈G, g≠e. We show that every infinite group G can be generated by some 2-thin subset. Moreover, if G is either Abelian ...
  • Diagonal direct limits of finite symmetric and alternating groups 
    Lavrenyuk, Y.V.; Nekrashevych, V.V.; Sushchansky, V.I. (Algebra and Discrete Mathematics, 2010)
    Diagonal direct limits of permutation groups are studied using their representations by homeomorphisms of the boundary of rooted trees. We describe a new method of classification of such permutation groups, and use this ...
  • Biserial minor degenerations of matrix algebras over a field 
    Wlodarska, A. (Algebra and Discrete Mathematics, 2010)
    Let n≥2 be a positive integer, K an arbitrary field, and q=[q⁽¹⁾|…|q⁽ⁿ⁾] an n-block matrix of n×n square matrices q⁽¹⁾,…,q⁽ⁿ⁾ with coefficients in K satisfying the conditions (C1) and (C2) listed in the introduction. We ...
  • Automorphisms of finitary incidence rings 
    Khripchenko, N. (Algebra and Discrete Mathematics, 2010)
  • On the existence of complements in a group to some abelian normal subgroups 
    Dixon, M.R.; Kurdachenko, L.A.; Javier Otal (Algebra and Discrete Mathematics, 2010)
    A complement to a proper normal subgroup H of a group G is a subgroup K such that G=HK and H∩K=⟨1⟩. Equivalently it is said that G splits over H. In this paper we develop a theory that we call hierarchy of centralizers to ...
  • On modules over group rings of soluble groups with commutative ring of scalars 
    Dashkova, O.Yu. (Algebra and Discrete Mathematics, 2010)
    The author studies an RG-module A such that R is a commutative ring, A/CA(G) is not a Noetherian R-module, CG(A)=1, G is a soluble group. The system of all subgroups H≤G, for which the quotient modules A/CA(H) are not ...
  • Perturbations of discrete lattices and almost periodic sets 
    Favorov, S.; Kolbasina, Y. (Algebra and Discrete Mathematics, 2010)
    A discrete set in the p-dimensional Euclidian space is almost periodic, if the measure with the unite masses at points of the set is almost periodic in the weak sense. We propose to construct positive almost periodic ...
  • Lattices of classes of groupoids with one-sided quasigroup conditions 
    Galuszka, J. (Algebra and Discrete Mathematics, 2010)
    It is shown that two classes of groupoids satisfying certain one-sided quasigroup conditions, namely the classes of one-sided torsion groupoids and of one-sided finite exponent groupoids, are complete lattices, both ...
  • Free semigroups in wreath powers of transformation semigroups 
    Oliynyk, A. (Algebra and Discrete Mathematics, 2010)
    It is established a criterion when the infinite wreath power of a finite transformation semigroup contains a free subsemigroup. It is shown that the infinite wreath power of a transformation semigroup either contains no ...
  • Length functions for semigroup embeddings 
    Davis, T.C. (Algebra and Discrete Mathematics, 2010)
    Following the work done in [O] for groups, we describe, for a given semigroup S, which functions l:S→N can be realized up to equivalence as length functions g↦|g|H by embedding S into a finitely generated semigroup H. We ...
  • Projectivity and flatness over the graded ring of semi-coinvariants 
    Guedenon, T. (Algebra and Discrete Mathematics, 2010)
    Let k be a field, C a bialgebra with bijective antipode, A a right C-comodule algebra, G any subgroup of the monoid of grouplike elements of C. We give necessary and sufficient conditions for the projectivity and flatness ...
  • Hall operators on the set of formations of finite groups 
    Mekhovich, A.P.; Vorob’ev, N.N.; Vorob’ev, N.T. (Algebra and Discrete Mathematics, 2010)
    Let π be a nonempty set of primes and let F be a saturated formation of all finite soluble π-groups. It is constructed the saturated formation consisting of all finite π-soluble groups whose F-projectors contain a Hall ...
  • A generalization of groups with many almost normal subgroups 
    Russo, F.G. (Algebra and Discrete Mathematics, 2010)
    A subgroup H of a group G is called almost normal in G if it has finitely many conjugates in G. A classic result of B. H. Neumann informs us that |G:Z(G)| is finite if and only if each H is almost normal in G. Starting ...
  • Camina groups with few conjugacy classes 
    Cangelmi, L.; Muktibodh, A.S. (Algebra and Discrete Mathematics, 2010)
    Let G be a finite group having a proper normal subgroup K such that the conjugacy classes outside K coincide with the cosets of K. The subgroup K turns out to be the derived subgroup of G, so the group G is either abelian ...
  • Modules whose maximal submodules have τ-supplements 
    Buyukasık, E. (Algebra and Discrete Mathematics, 2010)
    Let R be a ring and τ be a preradical for the category of left R-modules. In this paper, we study on modules whose maximal submodules have τ-supplements. We give some characterizations of these modules in terms their ...
  • A sequence of factorizable subgroups 
    Dabbaghian, V. (Algebra and Discrete Mathematics, 2010)
    Let G be a non-abelian non-simple group. In this article the group G such that G=MCG(M) will be studied, where M is a proper maximal subgroup of G and CG(M) is the centralizer of M in G.
  • Generalized ⊕-supplemented modules 
    Calısıcı, H.; Turkmen, E. (Algebra and Discrete Mathematics, 2010)
    Let R be a ring and M be a left R-module. M is called generalized ⊕- supplemented if every submodule of M has a generalized supplement that is a direct summand of M. In this paper we give various properties of such modules. ...
  • On separable and H-separable polynomials in skew polynomial rings of several variables 
    Ikehata, S. (Algebra and Discrete Mathematics, 2010)
    Let B be a ring with 1, and {ρ1,⋯,ρe} a set of automorphisms of B. Let B[X1,⋯,Xe;ρ1,⋯,ρe;{uij}] be the skew polynomial ring of automorphism type. In this paper, we shall give equivalent conditions that the residue ring of ...

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