DEPTH OF TOR

  • Choi, Sang-Ki (Department of Mathematics Education, Kon-Kuk University)
  • Published : 2000.02.01

Abstract

Using spectral sequences we calculate the highest nonvanishing index of Tor for modules of finite projective dimension. The result is applied to compute the depth of the highest nonvanishing Tor. This is one of the cases when a problem of Auslander is positive.

Keywords

References

  1. Illinois J. Math. v.5 Modules over unramified regular local rings M. Auslander
  2. Trans. Amer. Math. Soc. v.85 Homological dimension in local rings M. Auslander;D. Buchsbaum
  3. J. Algebra v.25 What makes a complex exact? D.Buchsbaum;D. Eisenbud
  4. An introduction to homological algebra v.85 J. Rotman
  5. Algebre locale multiplicities v.11 J.P. Serre