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Paper   IPM / M / 11337
School of Mathematics
  Title:   Comparison of multiplicity and final Betti number of a standard graded K-Algebra
  Author(s): 
1.  P. Sahandi
2.  N. Shirmohammadi (S. Yassemi)
  Status:   Published
  Journal: Algebra Colloq.
  Vol.:  19
  Year:  2012
  Pages:   1167-1170
  Supported by:  IPM
  Abstract:
Let S be a polynomial ring over a field K and let R be the Stanley-Reisner ring of a matroid complex. In this paper, as a comparison of multiplicity and final Betti number of Rover S, the inequality βp(R) ≤ [(P)/(MP)]e(R) is obtained.

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