Browsing Facultatea de Matematică şi Informatică by Title

Browsing Facultatea de Matematică şi Informatică by Title

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  • ON ORTHOGONAL SYSTEMS OF TERNARY QUASIGROUPS ADMITTING NONTRIVIAL PARATOPIES. 
    Syrbu, Parascovia; Ceban, Dina (Institutul de Matematică şi Informatică al AŞM, 2017)
    In the present workwe describ eallorthogonal systems consisting of three ternary quasigroupop erations and of all (three) ternary selectors,admitting at least one nontrivial paratopy. In[11]we proved that there exist ...
  • ON PARATOPIES OF ORTHOGONAL SYSTEMS OF TERNARY QUASIGROUPS. I 
    Syrbu, P.; Ceban, D. (Academy of Sciences of Moldova, 2016)
    A paratopy of an orthogonal system = {A1,A2, . . . ,An} of n-ary quasigroups, defined on a nonempty set Q, is a mapping : Qn 7→ Qn such that = , where = {A1 ,A2 , . . . ,An }. The paratopies of the orthogonal ...
  • ON PSEUDOAUTOMORPHISMS OF MIDDLE BOL LOOPS 
    Grecu, Ion (CEP USM, 2015)
    A loop (Q1▪) is called a middle Bol loop if every loop isotope of (Q1▪) satisfies the identity (x∙y)-1 = y -1 x -1 (i.e. if the anti-automorphic inverse property is universal in (Q1▪) [1]. Middle Bol loops are isostrophes ...
  • ON QUASIGROUPS WITH SOME MINIMAL IDENTITIES 
    Ceban, Dina; Syrbu, Parascovia (CEP USM, 2015)
    Quasigroups with two identities (of typesT1 and T2) from Belousov-Bennett classification are considered. It is proved that a π-quasigroup of type T2 is also of type only if it satisfies the identity yx∙x=y (the “right keys ...
  • ON RECURSIVE DIFFERENTIABILITY OF BINARY QUASIGROUPS 
    Larionova-Cojocaru, Inga; Syrbu, Parascovia ("VALINEX", 2014)
    A quasigroup is called recursively n-differentiable if its first n recursive derivatives are quasigroups. The class of recursively differential quasigroups is arisen in the theory of MDS codes, in early 2000. Connections ...
  • ON RECURSIVE DIFFERENTIABILITY OF BINARY QUASIGROUPS 
    Larionova-Cojocaru, Inga; Syrbu, Parascovia (CEP USM, 2015)
    Recursively differentiable binary quasigroups and loops, are considered in the present paper. Invariants under the recursive differentiability of binary quasigroups are found. It is shown that the recursive derivative of ...
  • ON RECURSIVELY DIFFERENTIABLE K-QUASIGROUPS 
    Syrbu, Parascovia; Cuznețov, Elena (2022)
    Recursive differentiability of linear k-quasigroups (k ≥ 2) is studied in the present work. A k-quasigroup is recursively r-differentiable (r is a natu- ral number) if its recursive derivatives of order up to r are ...
  • ON SOME IDENTITIES IN TERNARY QUASIGROUPS 
    Ceban, Dina (CEP USM, 2016)
    Identities of length 5, with two variables in binary quasigroups are called minimal identities. V.Belousov and, independently, F. Bennett showed that, up to the parastrophic equivalence, there are seven minimal identities. ...
  • ON STRONG STABILITY OF LINEAR POISSON ACTIONS 
    Glavan, Vasile; Rzeszotko, Z. (Institutul de Matematică şi Informatică al AŞM, 2003)
    Linear Poisson actions of the groupRmare considered. Conditions on thejoint spectrum of the generators and on the centralizers assuring stability and strongstability of the action are given. We give also some examplesof ...
  • ON SYSTEMS OF NONLINEAR EQUATIONS DEPENDING ON PARAMETERS 
    Barsuc, Alexandr A.; Paladi, Florentin (CEP USM, 2022-11-10)
  • ON THE COMPUTATIONAL COMPLEXITY OF OPTIMIZATION CONVEX COVERING PROBLEMS OF GRAPHS 
    Buzatu, Radu (Institutul de Matematică şi Informatică al AŞM, 2020)
    In this paper we present further studies of convex covers and convex partitions of graphs. Let G be a finite simple graph. A set of vertices S of G is convex if all vertices lying on a shortest path between any ...
  • ON THE DIVISION OF ABSTRACT MANIFOLDS IN CUBES 
    Bujac, Mariana; Cataranciuc, Sergiu; Soltan, Petru (Institutul de Matematică şi Informatică al AŞM, 2006)
    We prove that in the class of abstract multidimensional manifolds withoutborders only torusVn1of dimensionn≥1 can be divided in abstract cubes with theproperty: every faceImfromVn1is shared by 2n−mcubes,m= 0,1, . . . , ...
  • ON THE HOLOMORPH OF ¼-QUASIGROUPS OF TYPE T1 
    Ceban, Dina; Syrbu, Parascovia ("VALINEX", 2014)
    Quasigroups satisfying the identity x¢(x¢(x¢y)) = y are called ¼-quasigroups of type T1. Necessary and su±cient conditions for the holomorph of a ¼-quasigroup of type T1 to be a ¼-quasigroup of type T1 are established. ...
  • ON THE RIEMANN BOUNDARY VALUE PROBLEM IN THE CASE OF A PIECEWISE LYAPUNOV CONTOUR 
    Neagu, Vasile (CEP USM, 2017)
    The generalized Riemann boundary value-problem is investigated in the case of a piecewise Lyapunov contour. It is proved that the conditions for normal solvability depend on the coefficients of the problem, as well as on ...
  • ON π-QUASIGROUPS ISOTOPIC TO ABELIAN GROUPS 
    Syrbu, Parascovia (Institutul de Matematică şi Informatică al AŞM, 2009)
    Aπ-quasigroup is a quasigroup satisfying one of the seven minimalidentities from the V.Belousov’s classification given in [1]. Some general results aboutπ-quasigroups isotopic to groups are obtained by V. Belousovand A. ...
  • ON Π-QUASIGROUPS OF TYPET1 
    Syrbu, Parascovia; Ceban, Dina (Academy of Sciences of Moldova, 2014)
    Quasigroups satisfying the identityx(x· xy ) = y are called π -quasigroups of type T 1 . The spectrum of the defining identity is precisely q = 0 or 1(mod 3), except for q = 6. Necessary conditions when a ...
  • OPPORTUNITIES FOR IMPROVING CYBER RISK MANAGEMENT IN CRITICAL INFRASTRUCTURES 
    Buzdugan, Aurelian (CEP USM, 2020)
  • OPTIMAL AND STACKELBERG CONTROLS OF LINEAR DISCRETE PROCESSES INFLUENCED BY ECHOES 
    Ungureanu, Valeriu; Deveatîi, Dumitru (Valines SRL, 2014)
    We develop mathematical models of Stackelberg control for linear discrete-time processes influenced by echoes as the development of Stackelberg control models and principles|particular models and principles of the more ...
  • THE OPTIMAL FLOW IN DYNAMIC NETWORKSWITH NONLINEAR COST FUNCTIONS ON EDGES 
    Fonoberova, Maria; Lozovanu, Dmitrii (Institutul de Matematică şi Informatică al AŞM, 2004)
    In this paper we study the dynamic version of the nonlinear minimum- cost flow problem on networks. We consider the problem on dynamic networks with nonlinear cost functions on edges that depend on time and flow. Moreover, ...
  • OPTIMIZATION OF MARKOV PROCESSES WITH FINAL SEQUENCE OF STATES AND UNITARY TRANSITION TIME 
    Lazari, Alexandru (Valines SRL, 2014)
    In this paper the Markov processes with final sequence of states and unitary transition time are studied. These stochastic systems represent a generalization of zero-order Markov processes studied in [1]. The evolution ...

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