Homological Properties of Powers of the Maximal Ideal of a Local Ring

نویسندگان

  • LIANA M. ŞEGA
  • L. M. ŞEGA
چکیده

It is known that the powers m of the maximal ideal of a local Noetherian ring share certain homological properties for all sufficiently large integers n. For example, the natural homomorphisms R → R/m are Golod, respectively, small, for all large n. We give effective bounds on the smallest integers n for which such properties begin to hold.

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تاریخ انتشار 2010