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  • On power structures 
    Bosnjak, I.; Madarász, R. (Луганский национальный университет им. Т. Шевченко, 2003-01-20)
  • On recurrence in G-spaces 
    Protasov, I.; Protasova, K. (2017)
    We introduce and analyze the following general concept of recurrence. Let G be a group and let X be a G-space with the action G × X −→ X, (g, x) 7−→ gx. For a family F of subset of X and A ∈ F, we denote ∆F(A) = {g ∈ G ...
  • On regular torsionless S-posets 
    Khosravi, R. (2018)
    This paper shall be concerned with the notion of regular torsionless in the category of S-posets. Besides elementary basic properties of regular torsionless S-posets, we consider cyclic regular torsionless S-posets and ...
  • On representation type of a pair of posets with involution 
    Bondarenko, Vitalij M. (Луганский национальный университет им. Т. Шевченко, 2004)
    In this paper we consider the problem on classifying the representations of a pair of posets with involution. We prove that if one of these is a chain of length at least 4 with trivial involution and the other is with ...
  • On representations of the group of order two over local factorial rings in the weakly modular case 
    Bondarenko, V.M.; Stoika, M.V. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    We study representations of the group of order 2 over local factorial rings of characteristic not 2 with residue field of characteristic 2. The main results are related to a sufficient condition of wildness of groups.
  • On simple groups of large exponents 
    Sonkin, Dmitriy (Луганский национальный университет им. Т. Шевченко, 2004)
    It is shown that the set of pairwise non-isomorphic 2-generated simple groups of exponent n (n ≥ 248 and n is odd or divisible by 29) is of cardinality continuum. As a corollary, for any sufficiently large n the set of ...
  • On some Leibniz algebras, having small dimension 
    Yashchuk, V . S . (2019)
    The first step in the study of all types of algebras is the description of such algebras having small dimensions. The structure of 3-dimensional Leibniz algebras is more complicated than 1 and 2-dimensional cases. In this ...
  • On square-Hamiltonian graphs 
    Protasova, K. D. (ДЗ "Луганський національний університет імені Тараса Шевченка, 2005)
    A finite connected graph G is called square-Hamiltonian if G2 is Hamiltonian. We prove that any join of the family of Hamiltonian graphs by tree is square-Hamiltonian. Applying this statement we show that the line graph ...
  • On strongly graded Gorestein orders 
    Theohari-Apostolidi, Th.; Vavatsoulas, H. (Луганский национальный университет им. Т. Шевченко, 2005)
    Let G be a finite group and let = g2G g be a strongly G-graded R-algebra, where R is a commutative ring with unity. We prove that if R is a Dedekind domain with quotient field K, is an R-order in a separable K-algebra ...
  • On subgroups of saturated or totally bounded paratopological groups 
    Banakh, Taras; Ravsky, Sasha (Луганский национальный университет им. Т. Шевченко, 2003)
  • On the anticommutativity in Leibniz algebras 
    Kurdachenko, L.; Semko, N.; Subbotin, I. (2018)
    Lie algebras are exactly the anticommutative Leibniz algebras. In this article, we conduct a brief analysis of the approach to Leibniz algebras which based on the concept of the anti-center (Lie-center) and antinilpotency ...
  • On the difference between the spectral radius and the maximum degree of graphs∗ 
    Oboudi, M.R. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    Let G be a graph with the eigenvalues λ1(G) >· · · > λn(G). The largest eigenvalue of G, λ1(G), is called the spectral radius of G. Let β(G) = ∆(G) − λ1(G), where ∆(G) is the maximum degree of vertices of G. It is known ...
  • On the existence of degree-magic labellings of the n-fold self-union of complete bipartite graphs 
    Simson, D. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    Magic rectangles are a classical generalization of the well-known magic squares, and they are related to graphs. A graph G is called degree-magic if there exists a labelling of the edges by integers 1, 2, . . . , |E(G)| ...
  • On the finite state automorphism group of a rooted tree 
    Lavrenyuk, Yaroslav (Луганский национальный университет им. Т. Шевченко, 2002-09-23)
  • On the Fitting ideals of a multiplication module 
    Hadjirezaei, S.; Karimzadeh, S. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    In this paper, we characterize all finitely gene- rated multiplication R-modules whose the first nonzero Fitting ideal of them is contained in only finitely many maximal ideals. Also, we prove that a finitely generated ...
  • On the genus of the annihilator graph of a commutative ring 
    Chelvam, T. T.; Selvakumar, K. (2017)
    Let R be a commutative ring and Z(R) ∗ be its set of non-zero zero-divisors. The annihilator graph of a commu- tative ring R is the simple undirected graph AG(R) with vertices Z(R) ∗ , and two distinct vertices ...
  • On the group of extensions for the bicrossed product construction for a locally compact group 
    Chapovsky, Yu. A.; Kalyuzhnyi, A. A.; Podkolzin, G. B. (Луганский национальный университет им. Т. Шевченко, 2004)
    For the cocycle bicrossed product construction applied to a locally compact group and its two subgroups, we give a simple description of the group of the corresponding extensions in terms of the second cohomology group ...
  • On the inclusion ideal graph of a poset 
    Jahanbakhsh, N .; Nikandish, R.; Nikmehr, M. J . (2019)
    Let (P, 6) be an atomic partially ordered set (poset, briefly) with a minimum element 0 and I(P) the set of nontrivial ideals of P. The inclusion ideal graph of P, denoted by Ω(P), is an undirected and simple graph with ...
  • On the lattice of cyclic codes over finite chain rings 
    Fotue -Tabue, A .; Mouaha, C. (2019)
    In this paper, R is a finite chain ring of invariants (q, s), and l is a positive integer fulfilling gcd(l, q) = 1. In the language of q-cyclotomic cosets modulo l, the cyclic codes over R of length l are uniquely decomposed ...
  • ON THE LEAST SEMIGROUP CONGRUENCES ON DIMONOIDS 
    Zhuchok, Y. V. (2014)