Exploració per tema "Classificació AMS::13 Commutative rings and algebras::13F Arithmetic rings and other special rings"

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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 ...

    • Rings of weak dimension 1 and syzygetic ideals 

      Planas Vilanova, Francesc d'Assís (1996)
      Article
      Accés obert
      We prove that rings of weak dimension one are the rings with all (three-generated) ideals syzygetic. This leads to a characterization of these rings in terms of the Andr\'e-Quillen homology.

    • The F-threshold of radical ideals 

      De Lamsdorff-Galagane Bonet, Leo (Universitat Politècnica de Catalunya, 2022-05-18)
      Treball Final de Grau
      Accés obert
      Realitzat a/amb:   Università degli Studi di Genova
      Les F-singularitats són singularitats d'anells commutatius de característica primera relacionats amb l'endomorfisme de Frobenius. Per a poder-les estudiar, s'han introduit invariants numèrics com la multiplicitat de ...

    • The strong uniform Artin-Rees property in codimension one 

      Planas Vilanova, Francesc d'Assís (1999)
      Article
      Accés obert