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IPM
30
YEARS OLD

“School of Mathematics”

Paper   IPM / M / 12665
   School of Mathematics
  Title: On the Stanley depth of weakly polymatroidal ideals
  Author(s):
1 . M. R. Pournaki
2 . S. Yassemi (Joint with S. A. Seyed Fakhari)
  Status: Published
  Journal: Arch. Math. (Basel)
  Vol.: 100
  Year: 2013
  Pages: 115-121
  Supported by: IPM
  Abstract:
Let \mathbbK be a field and S=\mathbbK[x1,...,xn] be the polynomial ring in n variables over the field \mathbbK. 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.


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