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Перегляд Algebra and Discrete Mathematics, 2019, Vol. 27, № 1 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2019, Vol. 27, № 1 за датою випуску

Сортувати за: Порядок: Результатів:

  • Representations of ordered doppelsemigroups by binary relations 
    Zhuchok, Y.V.; Koppitz, J. (Algebra and Discrete Mathematics, 2019)
    We extend the study of doppelsemigroups and introduce the notion of an ordered doppelsemigroup. We construct the ordered doppelsemigroup of binary relations on an arbitrary set and prove that every ordered doppelsemigroup ...
  • Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring II, Quasilocal Case 
    Visweswaran, S.; Vadhel, P. (Algebra and Discrete Mathematics, 2019)
    The rings we consider in this article are commutative with identity 1 ≠ 0 and are not fields. Let R be a ring. We denote the collection of all proper ideals of R by I(R) and the collection I(R) \ {(0)} by I(R)*. Let H(R) ...
  • On certain families of sparse numerical semigroups with Frobenius number even 
    Tizziotti, G.; Villanueva, J. (Algebra and Discrete Mathematics, 2019)
    This paper is about sparse numerical semigroups and applications in the Weierstrass semigroups theory. We describe and find the genus of certain families of sparse numerical semigroups with Frobenius number even and we ...
  • A Ramsey algebraic study of matrices 
    Teoh, Z.Y.; Teh, W.C. (Algebra and Discrete Mathematics, 2019)
    The notion of a topological Ramsey space was introduced by Carlson some 30 years ago. Studying the topological Ramsey space of variable words, Carlson was able to derive many classical combinatorial results in a unifying ...
  • Classification of homogeneous Fourier matrices 
    Singh, G. (Algebra and Discrete Mathematics, 2019)
    Modular data are commonly studied in mathematics and physics. A modular datum defines a finite-dimensional representation of the modular group SL₂(Z). In this paper, we show that there is a one-to-one correspondence between ...
  • On free vector balleans 
    Protasov, I.; Protasova, K. (Algebra and Discrete Mathematics, 2019)
    A vector balleans is a vector space over R endowed with a coarse structure in such a way that the vector operations are coarse mappings. We prove that, for every ballean (X, E), there exists the unique free vector ballean ...
  • Conjugacy in finite state wreath powers of finite permutation groups 
    Oliynyk, A.; Russyev, A. (Algebra and Discrete Mathematics, 2019)
    It is proved that conjugated periodic elements of the infinite wreath power of a finite permutation group are conjugated in the finite state wreath power of this group. Counter-examples for non-periodic elements are given.
  • On the number of topologies on a finite set 
    Kizmaz, M.Y. (Algebra and Discrete Mathematics, 2019)
    We denote the number of distinct topologies which can be defined on a set X with n elements by T(n). Similarly, T0(n) denotes the number of distinct T₀ topologies on the set X. In the present paper, we prove that for any ...
  • The lattice of quasivarietes of modules over a Dedekind ring 
    Jedlička, P.; Matczak, K.; Mućka, A. (Algebra and Discrete Mathematics, 2019)
    In 1995 D. V. Belkin described the lattice of quasivarieties of modules over principal ideal domains [1]. The following paper provides a description of the lattice of subquasivarieties of the variety of modules over a given ...
  • Generalized classes of suborbital graphs for the congruence subgroups of the modular group 
    Jaipong, P.; Tapanyo, W. (Algebra and Discrete Mathematics, 2019)
    Let Г be the modular group. We extend a nontrivial Г-invariant equivalence relation on Q to a general relation by replacing the group Г₀(n) by Гк(n), and determine the suborbital graph Fᴷu,n, an extended concept of the ...
  • On indices and eigenvectors of quivers 
    Dudchenko, I.; Plakhotnyk, M. (Algebra and Discrete Mathematics, 2019)
    We study formulas for eigenvectors of strongly connected simply laced quivers in terms of eigenvalues. The relation of these formulas to the isomorphism of quivers is investigated.
  • On hereditary reducibility of 2-monomial matrices over commutative rings 
    Bondarenko, V.M.; Gildea, J.; Tylyshchak, A.A.; Yurchenko, N.V. (Algebra and Discrete Mathematics, 2019)
    In this paper we introduce the notion of hereditary reducibility for some matrices and indicate one general condition of the introduced reducibility.
  • Volodymyr Kyrychenko (to the 75th anniversary) 
    Автор відсутній (Algebra and Discrete Mathematics, 2019)

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