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Book Review
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Book Information
Author(s):
Jan R. Strooker
Title:
Homological Questions in Local Algebra
Additional book information:
Cambridge University Press, Cambridge 1990, 307 pp., US$34.50. ISBN 0-521-31526-3
References:
- [Au]
- M. Auslander, Modules over unramified regular local rings, Illinois J. Math. \textbf{5} (1961), 631--647.
- [AB]
- M. Auslander and D. Buchsbaum, Unique factorization in regular local rings, Proc. Nat. Acad. Sci. U.S.A. \textbf{45} (1959), 733--734.
- [Ar]
- M. Artin, Algebraic approximation of structures over complete local rings, Inst. Hautes \'Etudes Sci. Publ. Math. \textbf{36} (1969), 23--56.
- [BE]
- D. Buchsbaum and D. Eisenbud, Algebra structures for finite free resolutions, and some structure theorems for ideals of codimension $3$, Amer. J. Math. \textbf{99} (1977), 447--485.
- [EG]
- G. Evans and P. Griffith, The syzygy problem, Ann. of Math. (2) \textbf{114} (1981), 323--333.
- [Ho1]
- M. Hochster, \emph{Topics in the homological theory of modules over commutative rings} vol.~24, Amer. Math. Soc., Providence, RI, 1975.
- [Ho2]
- M. Hochster, Canonical elements in local cohomology modules and the direct summand conjecture, J. Algebra \textbf{84} (1983), 503--553.
- [HH1]
- M. Hochster and C. Huneke, Tight closure, invariant theory and the Briancon-Skoda theorem, J. Amer. Math. Soc. \textbf{3} (1990), 31--116.
- [HH2]
- M. Hochster and C. Huneke, Infinite integral extensions and big Cohen-Macaulay algebras, Ann. of Math. (2).
- [K]
- W. Krull, Primidealketten in allgemeinen Ringbereichen, Heidelberger Akad. Wiss. Math.-Natur. Kl. \textbf{7} (1928).
- [PS1]
- C. Peskine, and L. Szpiro, Dimension projective finie et cohomologie locale, Inst. Hautes \'Etudes Sci. Publ. Math. \textbf{42} (1973), \nofrills 323--359.
- [PS2]
- C. Peskine, and L. Szpiro, Syzygies et multiplicit\'es, C. R. Acad. Sci. Paris (A) \textbf{278} (1974), 1421--1424.
- [Ro1]
- P. Roberts, Two applications of dualizing complexes over local rings, Ann. Sci. \'Ecole Norm. Sup. (4) \textbf{9} (1976), 103--106.
- [Ro2]
- P. Roberts, Cohen-Macaulay complexes and an analytic proof of the new intersection conjecture, J. Algebra \textbf{66} (1980), 220--225.
- [Ro3]
- P. Roberts, Le theoreme d'intersection, C. R. Acad. Sci. Paris S\'er. I Math. \textbf{304} (1987), 177--180.
- [Se]
- J.-P. Serre, \emph{Algebre locale-multiplicit\'es. \nofrills} vol.~11, Springer-Verlag, New York and Berlin, 1965.
Additional Information:
Reviewer(s):
Craig
Huneke
Review Information:
Journal:
Bull. Amer. Math. Soc.
26
(1992),
361-367.
DOI:
10.1090/S0273-0979-1992-00280-X
PII:
S 0273-0979(1992)00280-X
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