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  • 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 ...
  • On certain homological invariant and its relation with Poincaré duality pairs 
    Andrade, M.G.C.; Gazon, A.B.; Lima A.F. (Algebra and Discrete Mathematics, 2018)
    Let G be a group, S = {Sᵢ, i ∊ I} a non empty family of (not necessarily distinct) subgroups of infinite index in G and M a Z₂G-module. In [4] the authors defined a homological invariant E*(G, S,M), which is “dual” to the ...
  • On certain semigroups of contraction mappings of a finite chain 
    Umar, A.; Zubairu, M.M. (Algebra and Discrete Mathematics, 2021)
    Let [n] = {1, 2, . . . , n} be a finite chain and let Pn (resp. , Tn) be the semigroup of partial transformations on [n] (resp. , full transformations on [n]). Let CPn = {α ∈ Pn : (for all x, y ∈ Dom α) |xα−yα| ≤ |x−y|} ...
  • On Certain Wronskians of Multiple Orthogonal Polynomials 
    Zhang, L.; Filipuk, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We consider determinants of Wronskian type whose entries are multiple orthogonal polynomials associated with a path connecting two multi-indices. By assuming that the weight functions form an algebraic Chebyshev (AT) system, ...
  • On changes in the spectra of Comet C/1999 S4 (LINEAR) on July 22−28, 2002 
    Chubko, L.S.; Churyumov, K.I.; Lukyanyk, I.V.; Kleshchonok, V.V. (Кинематика и физика небесных тел, 2005)
    Some spectra of Comet C/1999 S4 (LINEAR) are obtained with the UAGS spectrograph (long slit and CCD) installed on the 1-m Zeiss reflector of the SAO RAS (the Northern Caucasus, Nizhny Arkhyz) on July 23/24, 26/27, and ...
  • 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 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 charged impurity structures in liquid helium 
    Pelmenev, A.A.; Krushinskaya, I.N.; Bykhalo, I.B.; Boltnev, R.E. (Физика низких температур, 2016)
    The thermoluminescence spectra of impurity-helium condensates (IHC) submerged in superfluid helium have been observed for the first time. Thermoluminescence of impurity-helium condensates submerged in superfluid helium ...
  • On Chebyshev Polynomials and Torus Knots 
    Gavrilik, A.M.; Pavlyuk, A.M. (2010)
    In this work, we demonstrate that the q-numbers and their two-parameter generalization, the q,p -numbers, can be used to obtain some polynomial invariants for torus knots and links. First, we show that the q-numbers, which ...
  • On check character systems over quasigroups and loops 
    Belyavskaya, G.B. (Algebra and Discrete Mathematics, 2003)
    In this article we study check character systems that is error detecting codes, which arise by appending a check digit an to every word a₁a₂...an₋₁ : a₁a₂...an₋₁ → a₁a₂...an₋₁an with the check formula (...((a₁ · δa₂) · δ ...
  • On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff-Love Constraints 
    Kovalchuk, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In this article we consider the affinely-rigid body moving in the three-dimensional physical space and subject to the Kirchhoff-Love constraints, i.e., while it deforms homogeneously in the two-dimensional central plane ...
  • On Classical r-Matrix for the Kowalevski Gyrostat on so(4) 
    Komarov, I.V.; Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We present the trigonometric Lax matrix and classical r-matrix for the Kowalevski gyrostat on so(4) algebra by using the auxiliary matrix algebras so(3,2) or sp(4).
  • On classification of CM modules over hypersurface singularities 
    Bondarenko, V.V. (Algebra and Discrete Mathematics, 2007)
    This article is devoted to a special case of classification problem for Cohen-Macaulay modules over hypersurface singularities.
  • On Classification of Finite-Dimensional Superbialgebras and Hopf Superalgebras 
    Aissaoui, S.; Makhlouf, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The purpose of this paper is to investigate finite-dimensional superbialgebras and Hopf superalgebras. We study connected superbialgebras and provide a classification of non-trivial superbialgebras and Hopf superalgebras ...
  • On classification of groups generated by 3-state automata over a 2-letter alphabet 
    Bondarenko, I.; Grigorchuk, R.; Kravchenko, R.; Muntyan, Y.; Nekrashevych, V.; Savchuk, D.; Sunic, Z. (Algebra and Discrete Mathematics, 2008)
    We show that the class of groups generated by 3-state automata over a 2-letter alphabet has no more than 122 members. For each group in the class we provide some basic information, such as short relators, a few initial ...
  • On classification of pairs of potent linear operators with the simplest annihilation condition 
    Bondarenko, V.M.; Tertychna, O.M.; Zubaruk, O.V. (Algebra and Discrete Mathematics, 2016)
    We study the problem of classifying the pairs of linear operators A,B (acting on the same vector space), when the both operators are potent and AB=0. We describe the finite, tame and wild cases and classify the indecomposable ...
  • On classifying the non-Tits P-critical posets 
    Bondarenko, V.M.; Styopochkina, M.V. (Algebra and Discrete Mathematics, 2021)
    In 2005, the authors described all introduced by them P-critical posets (minimal finite posets with the quadratic Tits form not being positive); up to isomorphism, their number is 132 (75 if duality is considered). Later ...
  • On closed rational functions in several variables 
    Petravchuk, A.P.; Iena, O.G. (Algebra and Discrete Mathematics, 2007)
    Let K = K¯ be a field of characteristic zero. An element ϕ ∈ K(x1,... ,xn) is called a closed rational function if the subfield K(ϕ) is algebraically closed in the field K(x1,... ,xn). We prove that a rational function ...
  • On closures in semitopological inverse semigroups with continuous inversion 
    Gutik, O. (Algebra and Discrete Mathematics, 2014)
    We study the closures of subgroups, semilattices and different kinds of semigroup extensions in semitopological inverse semigroups with continuous inversion. In particularly we show that a topological group G is H-closed ...
  • 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