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Paper   IPM / M / 16043
School of Mathematics
  Title:   The Golod property of Powers of ideals and of Koszul ideals
  Author(s):  Rasoul Ahangari Maleki
  Status:   Published
  Journal: J. Pure Appl. Algebra
  Year:  2018
  Pages:   DOI: 10.1016/j.jpaa.2018.04.009
  Supported by:  IPM
Let S be a regular local ring or a polynomial ring over a field and I be an ideal of S. Motivated by a recent result of Herzog and Huneke, we study the natural question that whether Im is a Golod ideal for all m>1. We observe that the Golod property of an ideal can be detected through the vanishing of certain map of \Tor. This observation leads to generalize some known results from the graded case to local rings and obtain new class of Golod ideals.

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