Exploració per tema "Classificació AMS::13 Commutative rings and algebras::13H Local rings and semilocal rings"

Ara es mostren els items 1-4 de 4

    • 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 ...

    • Ideals of Herzog-Northcott type 

      Planas Vilanova, Francesc d'Assís; O'Carroll, Liam (2011-01-19)
      Article
      Accés obert
      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 ...

    • 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 ...

    • Prime ideals in three dimensional regular local rings 

      González Hernández, Laura (Universitat Politècnica de Catalunya, 2020-07)
      Projecte Final de Màster Oficial
      Accés obert
      The aim of this work is twofold. First we study a family of prime ideals, in the power series ring in three variables over a field, which need arbitrarily high number of generators. This family was introduced by T. T. Moh ...