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Перегляд Algebra and Discrete Mathematics, 2015, Vol. 19, № 2 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2015, Vol. 19, № 2 за датою випуску

Сортувати за: Порядок: Результатів:

  • On characteristic properties of semigroups 
    Bondarenko, V.M.; Zaciha, Ya.V. (Algebra and Discrete Mathematics, 2015)
    Let K be a class of semigroups and P be a set of general properties of semigroups. We call a subset Q of P characteristic for a semigroup S ∈ K if, up to isomorphism and antiisomorphism, S is the only semigroup in K, which ...
  • On algebraic graph theory and non-bijective multivariate maps in cryptography 
    Ustimenko, V. (Algebra and Discrete Mathematics, 2015)
    Special family of non-bijective multivariate maps Fn of Zmⁿ into itself is constructed for n=2,3,… and composite m. The map Fn is injective on Ωn={x|x₁+x₂+…xn ∈ Zm∗} and solution of the equation Fn(x)=b,x∈Ωn can be reduced ...
  • New families of Jacobsthal and Jacobsthal-Lucas numbers 
    Catarino, P.; Vasco, P.; Campos, H.; Aires, A.P.; Borges, A. (Algebra and Discrete Mathematics, 2015)
    In this paper we present new families of sequences that generalize the Jacobsthal and the Jacobsthal-Lucas numbers and establish some identities. We also give a generating function for a particular case of the sequences presented.
  • On characteristic properties of semigroups 
    Bondarenko, V.M.; Zaciha, Y.V. (Algebra and Discrete Mathematics, 2015)
    Let K be a class of semigroups and P be a set of general properties of semigroups. We call a subset Q of P cha\-racteristic for a semigroup S∈ K if, up to isomorphism and anti-isomorphism, S is the only semigroup in ...
  • On the units of integral group ring of Cn×C₆ 
    Küsmüş, Ö. (Algebra and Discrete Mathematics, 2015)
    There are many kind of open problems with varying difficulty on units in a given integral group ring. In this note, we characterize the unit group of the integral group ring of Cn×C₆ where Cn=⟨a:aⁿ=1⟩ and C₆=⟨x:x⁶=1⟩. We ...
  • Lattice groups 
    Kurdachenko, L.A.; Yashchuk, V.S.; Subbotin, I.Y. (Algebra and Discrete Mathematics, 2015)
    In this paper, we introduce some algebraic structure associated with groups and lattices. This structure is a semigroup and it appeared as the result of our new approach to the fuzzy groups and L-fuzzy groups where L is a ...
  • A tabu search approach to the jump number problem 
    Krysztowiak, P.; Sysło, M.M. (Algebra and Discrete Mathematics, 2015)
    We consider algorithmics for the jump number problem, which is to generate a linear extension of a given poset, minimizing the number of incomparable adjacent pairs. Since this problem is NP-hard on interval orders and ...
  • Finitely presented quadratic algebras of intermediate growth 
    Koçak, D. (Algebra and Discrete Mathematics, 2015)
    In this article, we give two examples of finitely presented quadratic algebras (algebras presented by quadratic relations) of intermediate growth.
  • Serial group rings of finite groups. General linear and close groups 
    Kukharev, A.; Puninski, G. (Algebra and Discrete Mathematics, 2015)
    For a given p, we determine when the p-modular group ring of a group from GL(n,q), SL(n,q) and PSL(n,q)-series is serial.
  • Quivers of 3×3-exponent matrices 
    Dokuchaev, M.; Kirichenko, V.V.; Plakhotnyk, M. (Algebra and Discrete Mathematics, 2015)
    We show how to use generating exponent matrices to study the quivers of exponent matrices. We also describe the admissible quivers of 3×3 exponent matrices.
  • On the cotypeset of torsion-free abelian groups 
    Karimi, F. (Algebra and Discrete Mathematics, 2015)
    In this paper the cotypeset of some torsion-free abelian groups of finite rank is studied. In particular, we determine the cotypeset of some rank two groups using the elements of their typesets.
  • On one-sided interval edge colorings of biregular bipartite graphs 
    Kamalian, R.R. (Algebra and Discrete Mathematics, 2015)
    A proper edge t-coloring of a graph G is a coloring of edges of G with colors 1,2,…,t such that all colors are used, and no two adjacent edges receive the same color. The set of colors of edges incident with a vertex ...
  • Projectivity and flatness over the graded ring of normalizing elements 
    Guédénon, T. (Algebra and Discrete Mathematics, 2015)
    Let k be a field, H a cocommutative bialgebra, A a commutative left H-module algebra, Hom(H,A) the $k$-algebra of the k-linear maps from H to A under the convolution product, Z(H,A) the submonoid of Hom(H,A) whose elements ...
  • Ultrafilters on G-spaces 
    Petrenko, O.V.; Protasov, I.V. (Algebra and Discrete Mathematics, 2015)
    For a discrete group G and a discrete G-space X, we identify the Stone-Cech compactifications βG and βX with the sets of all ultrafilters on G and X, and apply the natural action of βG on βX to characterize large, thick, ...
  • On various parameters of Zq-simplex codes for an even integer q 
    Chella Pandian, P.; Durairajan, C. (Algebra and Discrete Mathematics, 2015)
    In this paper, we defined the Zq-linear codes and discussed its various parameters. We constructed Zq-Simplex code and Zq-MacDonald code and found its parameters. We have given a lower and an upper bounds of its covering ...
  • Symmetric modules over their endomorphism rings 
    Ungor, B.; Kurtulmaz, Y.; Halicioglu, S.; Harmanci, A. (Algebra and Discrete Mathematics, 2015)
    Let R be an arbitrary ring with identity and M a right R-module with S=EndR(M). In this paper, we study right R-modules M having the property for f,g∈EndR(M) and for m∈M, the condition fgm=0 implies gfm=0. We prove that ...
  • Recursive formulas generating power moments of multi-dimensional Kloosterman sums and m-multiple power moments of Kloosterman sums 
    Kim, D.S. (Algebra and Discrete Mathematics, 2015)
    In this paper, we construct two binary linear codes associated with multi-dimensional and m-multiple power Kloosterman sums (for any fixed m) over the finite field Fq. Here q is a power of two. The former codes are dual ...
  • On fibers and accessibility of groups acting on trees with inversions 
    Mahmood, R.M.S. (Algebra and Discrete Mathematics, 2015)
    Throughout this paper the actions of groups on graphs with inversions are allowed. An element g of a group G is called inverter if there exists a tree X where G acts such that g transfers an edge of X into its inverse. ...
  • On c-normal and hypercentrally embeded subgroups of finite groups 
    Ning Su; Yanming Wang (Algebra and Discrete Mathematics, 2015)
    In this article, we investigate the structure of a finite group G under the assumption that some subgroups of G are c-normal in G
  • On inverse subsemigroups of the semigroup of orientation-preserving or orientation-reversing transformations 
    Catarino, P.; Higgins, P.M.; Levi, I. (Algebra and Discrete Mathematics, 2015)
    It is well-known [16] that the semigroup Tn of all total transformations of a given n-element set Xn is covered by its inverse subsemigroups. This note provides a short and direct proof, based on properties of digraphs of ...

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