Exploració per autor "O'Carroll, Liam"

Ara es mostren els items 2-5 de 5

    • 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 ...

    • Minimal free resolutions of lattice ideals of digraphs 

      O'Carroll, Liam; Planas Vilanova, Francesc d'Assís (2018-03-02)
      Article
      Accés obert
      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 ...

    • Noncomplete intersection prime ideals in dimension 3 

      Goto, Shiro; O'Carroll, Liam; Planas Vilanova, Francesc d'Assís (2015-06-01)
      Article
      Accés obert
      We describe prime ideals of height 2 minimally generated by three elements in a Gorenstein, Nagata local ring of Krull dimension 3 and multiplicity at most 3. This subject is related to a conjecture of Y. Shimoda and to a ...

    • 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
      Accés obert
      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 ...