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Browsing Журнал "Алгебра и дискретная математика" ("Algebra and Discrete Mathematics") by Title

Browsing Журнал "Алгебра и дискретная математика" ("Algebra and Discrete Mathematics") by Title

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  • Finite automaton actions of free products of groups 
    Fedorova, M.; Oliynyk, A. (2017)
    It is shown that for groups G and H that act faithfully by finite state automorphisms on regular rooted trees their free product G ∗ H admits a faithful action by finite state automorphisms on some regular rooted tree.
  • Finite group with given c-permutable subgroups 
    Ahmad Alsheik Ahmad (Луганский национальный университет им. Т. Шевченко, 2004)
  • Finite groups admitting a dihedral group of automorphisms 
    Erca, G.; Güloğlu, İ.Ş. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    Let D = hα, βi be a dihedral group generated by the involutions α and β and let F = hαβi. Suppose that D acts on a finite group G by automorphisms in such a way that CG(F) = 1. In the present paper we prove that the ...
  • Finite groups with a system of generalized central elements 
    Shemetkova, Olga (Луганский национальный университет им. Т. Шевченко, 2004)
    Let H be a normal subgroup of a finite group G. A number of authors have investigated the structure of G under the assumption that all minimal or maximal subgroups in Sylow subgroups of H are well-situated in G. A general ...
  • Flat extension and phantom homology 
    Bhattacharyya, R. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    Phantom homology arises in tight closure theory due to small non-exactness when ‘kernel’ is not equal to ‘image’ but ‘kernel’ is in the tight closure of the ‘image’. In this paper we study a typical flat extension, which ...
  • Flows in graphs and the homology of free categories 
    Husainov, Ahmet A.; Çalisici, Hamza (Луганский национальный университет им. Т. Шевченко, 2003-05-13)
  • (G, φ)-crossed product on (G, φ)-quasiassociative algebras 
    Albuquerque, H.; Barreiro, E.; Sánchez-Delgado, J.M. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    The notions of (G, φ)-crossed product and quasicrossed system are introduced in the setting of (G, φ)-quasiassociative algebras, i.e., algebras endowed with a grading by a group G, satisfying a “quasiassociative” law. It ...
  • Galois orders of symmetric differential operators 
    Futorny, V.; Schwarz, J. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    In this survey we discuss the theory of Galois rings and orders developed in by Sergey Ovsienko and the first author. This concept allows to unify the representation theories of Generalized Weyl Algebras and of the ...
  • Generalized classes of suborbital graphs for the congruence subgroups of the modular group 
    Jaipong, P.; Tapanyo, W. (2019)
    Let Γ be the modular group. We extend a non-trivial Γ-invariant equivalence relation on Qb to a general relation by replacing the group Γ0(n) by ΓK(n), and determine the suborbital graph F K u,n, an extended concept of ...
  • Generalized equivalence of collections of matrices and common divisors of matrices 
    Petrychkovych, Vasyl‘ M. (Луганский национальный университет им. Т. Шевченко, 2004)
    The collections (A1, ...,Ak) and (B1, ...,Bk) of matrices over an adequate ring are called generalized equivalent if Ai = UBiVi for some invertible matrices U and Vi, i = 1, ..., k. Some conditions are established under ...
  • Generators and ranks in finite partial transformation semigroups 
    Garba, G.U.; Imam, A.T. (2017)
    We extend the concept of path-cycles, defined in [2], to the semigroup Pn, of all partial maps on Xn = {1, 2, . . . , n}, and show that the classical decomposition of permutations into disjoint cycles can be extended ...
  • Geometry of flocks and n-ary groups Sonia Dog 
    Protasov, I. V. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    Semiabelinan flocks and n-ary groups are charac- terized by the properties of parallelograms and vectors of the affine geometry defined by these flocks and n-ary groups.
  • Global outer connected domination number of a graph 
    Alishahi, M.; Mojdeh, D. A. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    For a given graph G = (V, E), a dominating set D ⊆ V (G) is said to be an outer connected dominating set if D = V (G) or G − D is connected. The outer connected domination number of a graph G, denoted by γec(G), is the ...
  • Globalizations for partial (co)actions on coalgebras 
    Castro, F .; Quadros, G . (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    In this paper, we introduce the notion of globalization for partial module coalgebra and for partial comodule coalgebra. We show that every partial module coalgebra is globalizable exhibiting a standard globalization. We ...
  • Gorenstein matrices 
    Dokuchaev, M. A.; Kirichenko, V. V.; Zelensky, A. V.; Zhuravlev, V. N. (Луганский национальный университет им. Т. Шевченко, 2005)
    Let A = (aij) be an integral matrix. We say that A is (0, 1, 2)-matrix if aij 2 {0, 1, 2}. There exists the Gorenstein (0, 1, 2)-matrix for any permutation on the set {1, . . . , n} with- out fixed elements. For every ...
  • Gram matrices and Stirling numbers of a class of diagram algebras 
    B i, N . K.; Parvathi, M . (2019)
    In this paper, we introduce Gram matrices for the signed partition algebras, the algebra of Z2-relations and the par- tition algebras. The nondegeneracy and symmetic nature of these Gram matrices are establised. ...
  • Gram matrices and Stirling numbers of a class of diagram algebras 
    Bi, N. K. (2018)
    In the paper [6], we introduced Gram matrices for the signed partition algebras, the algebra of Z2-relations and the partition algebras. (s1, s2, r1, r2, p1, p2)-Stirling numbers of the second kind are also introduced ...
  • Green’s relations on the deformed transformation semigroups 
    Tsyaputa, G. Y. (Луганский национальный университет им. Т. Шевченко, 2004)
  • Green’s relations on the seminearring of full hypersubstitutions of type (n) 
    Changphas, Th.; Denecke, K. (Луганский национальный университет им. Т. Шевченко, 2002-09-23)
  • Groups, in which almost all subgroups are near to normal 
    Semko, M. M.; Kuchmenko, S. M. (Луганский национальный университет им. Т. Шевченко, 2004)
    A subgroup H of a group G is said to be nearly normal, if H has a finite index in its normal closure. These sub- groups have been introduced by B.H. Neumann. In a present paper is studied the groups whose non polycyclic ...

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