Loading...

On the Stanley depth of weakly polymatroidal ideals

Pournaki, M. R ; Sharif University of Technology | 2013

145 Viewed
  1. Type of Document: Article
  2. DOI: 10.1007/s00013-012-0480-1
  3. Publisher: 2013
  4. Abstract:
  5. Let K be a field and S = K[x1,...,xn] be the polynomial ring in n variables over the field K. In this paper, it is shown that Stanley's conjecture holds for I and S/I if I is a product of monomial prime ideals or I is a high enough power of a polymatroidal or a stable ideal generated in a single degree
  6. Keywords:
  7. Monomial ideal ; Polymatroidal ideal ; Stanley conjecture ; Stanley depth
  8. Source: Archiv der Mathematik ; Volume 100, Issue 2 , 2013 , Pages 115-121 ; 0003889X (ISSN)
  9. URL: http://link.springer.com/article/10.1007%2Fs00013-012-0480-1