Exploració per tema "Classificació AMS::13 Commutative rings and algebras::13P Computational aspects of commutative algebra"

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    • Degree and algebraic properties of lattice and matrix ideals 

      O'Carroll, Liam; Planas Vilanova, Francesc d'Assís; Villarreal Rodríguez, Rafael Heraclio (2014-01-01)
      Article
      Accés obert
      We study the degree of nonhomogeneous lattice ideals over arbitrary fields, and give formulas to compute the degree in terms of the torsion of certain factor groups of Z(s) and in terms of relative volumes of lattice ...

    • Minimal canonical comprehensive Gröbner systems 

      Manubens Ferriol, Montserrat; Montes Lozano, Antonio (2009)
      Article
      Accés obert
      This is the continuation of Montes' paper "On the canonical discussion of polynomial systems with parameters''. In this paper, we define the Minimal Canonical Comprehensive Gröbner System of a parametric ideal and fix under ...

    • Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem 

      Gasull Embid, Armengol; Mañosa Fernández, Víctor (2020-02)
      Article
      Accés obert
      We present a systematic methodology to determine and locate analytically isolated periodic points of discrete and continuous dynamical systems with algebraic nature. We apply this method to a wide range of examples, including ...

    • Rational parameterizations approach for solving equations in some dynamical systems problems 

      Lázaro Ochoa, José Tomás; Gasull Embid, Armengol; Torregrosa Arús, Joan (2019-08)
      Article
      Accés obert
      We show how the use of rational parameterizations facilitates the study of the number of solutions of many systems of equations involving polynomials and square roots of polynomials. We illustrate the effectiveness of this ...