Now showing items 1-12 of 12

  • An approach to the uniform Artin-Rees theorems from the notion of relation type 

    Planas Vilanova, Francesc d'Assís (2003)
    Article
    Open Access
  • 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 ...
  • Generic Galois extensions for SL_2(F_5) over Q 

    Plans Berenguer, Bernat (Mathematical Publishing, 2007)
    Article
    Open Access
    Let $G_n$ be a double cover of either the alternating group $A_n$ or the symmetric group $S_n$, and let $G_{n-1}$ be the corresponding double cover of $A_{n-1}$ or $S_{n-1}$. For every odd $n\geq 3$ and every field $k$ of ...
  • 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 ...
  • Lyubeznik numbers of local rings and linear strands of graded ideals 

    Álvarez Montaner, Josep (Springer, 2016)
    Conference report
    Restricted access - publisher's policy
    We report recent work on the study of Lyubeznik numbers and their relation to invariants coming from the study of linear strands of free resolutions.
  • Normal transversality and uniform bounds 

    Planas Vilanova, Francesc d'Assís (1999)
    Article
    Open Access
  • On the module of effective relations of a standard algebra 

    Planas Vilanova, Francesc d'Assís (1996)
    Article
    Open Access
  • Rings of weak dimension 1 and syzygetic ideals 

    Planas Vilanova, Francesc d'Assís (1996)
    Article
    Open Access
    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.
  • Sur L'Annulation du deuxième foncteur de (co)homologie D'André-Quillen 

    Planas Vilanova, Francesc d'Assís (1995)
    Article
    Open Access
    For a given ideal I of a commutative ring ç A,B = A/I, the vanishing of the second André-Quillen (co)homology functor H2(A,B,*) is characterized in terms of the canonical homomorphism a:S(I)->R(I) from the symmetric algebra ...
  • The strong uniform Artin-Rees property in codimension one 

    Planas Vilanova, Francesc d'Assís (1999)
    Article
    Open Access
  • Vanishing of the André-Quillen homology Module<math>H<sub>2</sub>(A,B,G (I))</math> 

    Planas Vilanova, Francesc d'Assís (1996)
    Article
    Open Access
    Let $I$ be an ideal of a commutative Noetherian ring $A$, $A\supset \Q$, $B=A/I$ and ${\bf G}(I)$ the associated graded ring to $I$. It is known that $H_{2}(A,B,B)=0$ is equivalent to $I$ being syzygetic. We prove that the ...