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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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  • Identities related to integer partitions and complete Bell polynomials 
    Mihoubi, M.; Belbachir, H. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    Using the (universal) Theorem for the integer partitions and the q-binomial Theorem, we give arithmetical and combinatorial identities for the complete Bell polynomials as generating functions for the number of partitions ...
  • Jacobsthal-Lucas series and their applications 
    Pratsiovytyi, M.; Karvatsky, D. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    In this paper we study the properties of positive series such that its terms are reciprocals of the elements of Jacobsthal-Lucas sequence (Jn+2 = 2Jn+1 + Jn, J1 = 2, J2 = 1). In particular, we consider the properties of ...
  • Kleinian singularities and algebras generated by elements that have given spectra and satisfy a scalar sum relation 
    Mellit, Anton (Луганский национальный университет им. Т. Шевченко, 2004)
    We consider the algebras ei (Q)ei, where (Q) is the deformed preprojective algebra of weight and i is some vertex of Q, in the case where Q is an extended Dynkin diagram and lies on the hyperplane orthogonal to the ...
  • Lattice rings: an interpretation of L-fuzzy rings as habitual algebraic structures 
    Kurdachenko, L. A; Subbotin, I. Ya.; Yashchuk, V. S. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    In this paper, we introduce some algebraic structure associated with rings and lattices. It appeared as the result of our new approach to the fuzzy rings and L-fuzzy rings where L is a lattice. This approach allows us to ...
  • Lie algebras of derivations with large abelian ideals 
    Klymenko, I. S.; Lysenko, S. V.; Petravchuk, A. P. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
  • Maximality of affine group, and hidden graph cryptosystems 
    Ustimenko, Vasiliy A. (Луганский национальный университет им. Т. Шевченко, 2005)
    We describe a new algebraic-combinatorial method of public key encryption with a certain similarity to the well known Imai-Matsumoto. We use the general idea to treat vertices of a linguistic graph (see [21] and further ...
  • Metrizable ball structures 
    Protasov, I.V. (Луганский национальный университет им. Т. Шевченко, 2002-09-24)
  • Minimax sums of posets and the quadratic Tits form 
    Bondarenko, Vitalij M.; Polishchuk, Andrej M. (Луганский национальный университет им. Т. Шевченко, 2003-11-18)
    Dedicated Michael Ringel on the occasion of his sixtieth birthday
  • Miniversal deformations of chains of linear mappings 
    Gaiduk, T. N.; Sergeichuk, V. V.; Zharko, N. A. (Луганский национальный университет им. Т. Шевченко, 2005)
    V.I. Arnold gave a miniversal deformation of matrices of linear operators; that is, a simple canonical form, to which not only a given square matrix A, but also the family of all matrices close to A, can be reduced by ...
  • Module decompositions via Rickart modules 
    Harmanci, A.; Ungor, B. (2018)
    This work is devoted to the investigation of module decompositions which arise from Rickart modules, socle and radical of modules. In this regard, the structure and several illustrative examples of inverse split modules ...
  • Modules in which every surjective endomorphism has a δ-small kernel 
    Atani, S.E.; Khoramdel, M.; Pishhesar, S.D. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    Hopfian modules, δ-Hopfian modules. In this paper, we introduce the notion of δ-Hopfian modules. We give some properties of these modules and provide a characterization of semisimple rings in terms of δ-Hopfian modules by ...
  • Modules which have a rad-supplement that is a direct summand in every extension 
    Türkmen, B.N. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    In this paper, we introduce the concept of mod- ules with the properties (RE) and (SRE), and we provide various properties of these modules. In particular, we prove that a semisimple module M is Rad-supplementing if ...
  • Multi-algebras from the viewpoint of algebraic logic 
    Cirulis, Janis (Луганский национальный университет им. Т. Шевченко, 2002-10-09)
  • Multiplicative orders of elements in Conway’s towers of finite fields 
    Popovych, R . (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    We give a lower bound on multiplicative ordersof certain elements in defined by Conway towers of finite fields ofcharacteristic 2 and also formulate a condition under that these elements are primitive.
  • N – real fields 
    Feigelstock, Shalom (Луганский национальный университет им. Т. Шевченко, 2003-03-03)
  • Neighborhood-prime labeling of some product graphs 
    Patel, S. K.; Shrimali, N. P. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    We have introduced the concept of neighborhood- prime labeling and investigated it for paths, cycles, wheels and union of such graphs earlier. In this paper, we construct neighborhood- prime labelings for graphs that ...
  • On 2-state Mealy automata of polynomial growth 
    Reznykov, I. I. (Луганский национальный университет им. Т. Шевченко, 2003)
  • On a graph isomorphic to its intersection graph: self-graphoidal graphs 
    Das, P.K.; Singh, K.R. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    Abstract . A graph G is called a graphoidal graph if there exists a graph H and a graphoidal cover ψ of H such that G ∼= Ω(H, ψ). Then the graph G is said to be self-graphoidal if it is isomorphic to one of its graphoidal ...
  • On a group theoretical construction of expanding graphs 
    Ustimenko, Vasyl A. (Луганский национальный университет им. Т. Шевченко, 2003-08-05)
  • On application of linear algebra in classification cubic s-regular graphs of order 28p 
    Imani, A .; Mehdipoor, N.; Talebi, A. A. (2018)
    A graph is s-regular if its automorphism group acts regularly on the set of s-arcs. In this paper, by applying concept linear algebra, we classify the connected cubic s-regular graphs of order 28p for each s > 1, and prime p.

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