“School of Mathematics”

Back to Papers Home
Back to Papers of School of Mathematics

Paper   IPM / M / 11320
School of Mathematics
  Title:   Rings that are homologically of minimal multiplicity
1.  K. Borna
2.  S. Yassemi (Joint with S. Sather-Wagstaff)
  Status:   Published
  Journal: Comm. Algebra
  Vol.:  39
  Year:  2011
  Pages:   782-807
  Supported by:  IPM
Let R be a local Cohen-Macaulay ring with canonical module ωR. We investigate the following question of Huneke: If the sequence of Betti numbers {βRiR)} has polynomial growth, must R be Gorenstein? This question is well-understood when R has minimal multiplicity. We investigate this question for a more general class of rings which we say are homologically of minimal multiplicity. We provide several characterizations of the rings in this class and establish a general ascent and descent result.

Download TeX format
back to top
scroll left or right