• Noetherian rings of low global dimension and syzygetic prime ideals 

      Planas Vilanova, Francesc d'Assís (2021-02-01)
      Article
      Accés obert
      Let R be a Noetherian ring. We prove that R has global dimension at most two if, and only if, every prime ideal of R is of linear type. Similarly, we show that R has global dimension at most three if, and only if, every ...
    • 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.