Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
권호 표지

A NOTE ON BETTI NUMBERS AND RESOLUTIONS

  • Choi, Sang-Ki (Department of Mathematics Education, Konkuk University)
  • Published : 1997.10.01
Download PDF
⟨ Previous Next ⟩

Abstract

We study the Betti numbers, the Bass numbers and the resolution of modules under the change of rings. For modules of finite homological dimension, we study the Euler characteristic of them.

Keywords

References

  1. Illinois J. Math. v.5 Modules over unramified regular local rings M. Auslander
  2. Annals of Math v.68 Codimersion and multiplicity M. Auslander;D. Buchsbaum
  3. Annals of Math v.114 The Sygyzy problem E. G. Evans;P. A. Griffith
  4. Commutative Rings I. Kaplansky
  5. Illinois J. Math. v.10 On the vanishing of Tor in regular local rings S. Lichtenbaum
  6. Commutative Ring Thory H. Matsumura
  7. An Introduction to Homological Algebra J. Rotman
  8. LNM Springer v.11 Algebre locale, multiplicities J. P. Serre