대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제12권4호
  • /
  • Pages.829-839
  • /
  • 1997
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

A NOTE ON BETTI NUMBERS AND RESOLUTIONS

  • Choi, Sang-Ki (Department of Mathematics Education, Konkuk University)
  • 발행 : 1997.10.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

  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