Now showing items 1-11 of 11

  • A Koszul complex over skew polynomial rings 

    Álvarez Montaner, Josep; Boix, Alberto F.; Zarzuela Armengou, Santiago (2019-01-01)
    Article
    Restricted access - publisher's policy
    We construct a Koszul complex in the category of left skew polynomial rings associated with a flat endomorphism that provides a finite free resolution of an ideal generated by a Koszul regular sequence
  • An approach to the uniform Artin-Rees theorems from the notion of relation type 

    Planas Vilanova, Francesc d'Assís (2003)
    Article
    Open Access
  • D-modules, Bernstein-Sato polynomials and F-invariants of direct summands 

    Álvarez Montaner, Josep; Huneke, Craig; Núñez-Betancourt, Luis (2017-12-01)
    Article
    Restricted access - publisher's policy
    We study the structure of D -modules over a ring R which is a direct sum- mand of a polynomial or a power series ring S with coefficients over a field. We relate properties of D -modules over R to D -modules over S . We ...
  • Emmy Noether i l’àlgebra commutativa 

    Zarzuela Armengou, Santiago (2009-02-18)
    Audiovisual
    Open Access
    Emmy Noether representa un punt d’inflexió fonamental en el desenvolupament de l’Àlgebra Commutativa. Per una banda, en ella conflueixen algunes de les línies evolutives prèvies més importants. Per altra, a partir del seu ...
  • Hilbert Revisited 

    Buchsbaum, David (2009-03-18)
    Audiovisual
    Open Access
    Starting with a look at Hilbert's famous 1890 paper, which was considered at one time to have dealt the deathblow to Invariant Theory, and which inluded the famous Basis Theorem and Syzygy Theorem, we will trace some ...
  • Ideals of Herzog-Northcott type 

    Planas Vilanova, Francesc d'Assís; O'Carroll, Liam (2011-01-19)
    Article
    Open Access
    This paper takes a new look at ideals generated by 2×2 minors of 2×3 matrices whose entries are powers of three elements not necessarily forming a regular sequence. A special case of this is the ideals determining monomial ...
  • Introducció a l’àlgebra commutativa i estudi dels ideals primers de Moh 

    Codern Cortada, Arnau (Universitat Politècnica de Catalunya, 2014-01)
    Master thesis (pre-Bologna period)
    Open Access
    Aquest és un treball sobre àlgebra commutativa. Consta de dues parts. En la primera es fa una introducció al tema, i es tracten diversos temes de l'àlgebra commutativa intentant no perdre de vista un objectiu final: la ...
  • Lyubeznik table of sequentially Cohen-Macaulay rings 

    Álvarez Montaner, Josep (2015-01-01)
    Article
    Open Access
    We prove that sequentially Cohen-Macaulay rings in positive characteristic, as well as sequentially Cohen-Macaulay Stanley-Reisner rings in any characteristic, have trivial Lyubeznik table. Some other configurations of ...
  • Minimal canonical comprehensive Gröbner systems 

    Manubens Ferriol, Montserrat; Montes Lozano, Antonio (2009)
    Article
    Open Access
    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 ...
  • Minimal free resolutions of lattice ideals of digraphs 

    O'Carroll, Liam; Planas Vilanova, Francesc d'Assís (2018-03-02)
    Article
    Open Access
    Based upon a previous work of Manjunath and Sturmfels for a finite, complete, undirected graph, and a refined algorithm by Eröcal, Motsak, Schreyer and Steenpaß for computing syzygies, we display a free resolution of the ...
  • On the integral degree of integral ring extensions 

    Giral Silió, José María; O'Carroll, Liam; Planas Vilanova, Francesc d'Assís; Plans Berenguer, Bernat (2019-02-01)
    Article
    Restricted access - publisher's policy
    Let A ¿ B be an integral ring extension of integral domains with fields of fractions K and L, respectively. The integral degree of A ¿ B, denoted by dA(B), is defined as the supremum of the degrees of minimal integral ...