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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:
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- M. Auslander, Modules over unramified regular local rings, Illinois J. Math. 5 (1961), 631-647. MR 0179211 (31:3460)
- [AB]
- M. Auslander and D. Buchsbaum, Unique factorization in regular local rings, Proc. Nat. Acad. Sci. U.S.A. 45 (1959), 733-734. MR 0103906 (21:2669)
- [Ar]
- M. Artin, Algebraic approximation of structures over complete local rings, Inst. Hautes Études Sci. Publ. Math. 36 (1969), 23-56. MR 0268188 (42:3087)
- [BE]
- D. Buchsbaum and D. Eisenbud, Algebra structures for finite free resolutions, and some structure theorems for ideals of codimension 3, Amer. J. Math. 99 (1977), 447-485. MR 0453723 (56:11983)
- [EG]
- G. Evans and P. Griffith, The syzygy problem, Ann. of Math. (2) 114 (1981), 323-333. MR 632842 (83i:13006)
- [Ho1]
- M. Hochster, Topics in the homological theory of modules over commutative rings, C.B.M.S. Regional Conf. Ser. in Math., vol. 24, Amer. Math. Soc., Providence, RI, 1975. MR 0371879 (51:8096)
- [Ho2]
- -, Canonical elements in local cohomology modules and the direct summand conjecture, J. Algebra 84 (1983), 503-553. MR 723406 (85j:13021)
- [HH1]
- M. Hochster and C. Huneke, Tight closure, invariant theory and the Briancon-Skoda theorem, J. Amer. Math. Soc. 3 (1990), 31-116. MR 1017784 (91g:13010)
- [HH2]
- -, Infinite integral extensions and big Cohen-Macaulay algebras, Ann. of Math. (2) (to appear). MR 1147957 (92m:13023)
- [K]
- W. Krull, Primidealketten in allgemeinen Ringbereichen, Heidelberger Akad. Wiss. Math.-Natur. K1. 7 (1928), 7.
- [PS1]
- C. Peskine, and L. Szpiro, Dimension projective finie et cohomologie locale, Inst. Hautes Études Sci. Publ. Math. 42 (1973), 323-359. MR 0374130 (51:10330)
- [PS2]
- -, Syzygies et multiplicité, C. R. Acad. Sci. Paris (A) 278 (1974), 1421-1424. MR 0349659 (50:2152)
- [Ro1]
- P. Roberts, Two applications of dualizing complexes over local rings, Ann. Sci. École Norm. Sup. (4) 9 (1976), 103-106. MR 0399075 (53:2926)
- [Ro2]
- -, Cohen-Macaulay complexes and an analytic proof of the new intersection conjecture, J. Algebra 66 (1980), 220-225. MR 591254 (82e:14009)
- [Ro3]
- -, Le theorme d'intersection, C. R. Acad. Sci. Paris Sér. I Math. 304 (1987), 177-180. MR 880574 (89b:14008)
- [Se]
- J.-P. Serre, Algebre locale-multiplicités. Lecture Notes in Math., vol. 11, Springer-Verlag, New York and Berlin, 1965. MR 0201468 (34:1352)
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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