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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)


The equicharacteristic case of some homological conjectures on local rings

Author: Melvin Hochster
Journal: Bull. Amer. Math. Soc. 80 (1974), 683-686
MSC (1970): Primary 13D05; Secondary 13C10
MathSciNet review: 0342510
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  • M. Artin, Algebraic approximation of structures over complete local rings, Inst. Hautes Études Sci. Publ. Math. 36 (1969), 23–58. MR 0268188 (42 #3087)
  • Melvin Hochster, Cohen-Macaulay modules, Conference on Commutative Algebra (Univ. Kansas, Lawrence, Kan., 1972), Springer, Berlin, 1973, pp. 120–152. Lecture Notes in Math., Vol. 311. MR 0340251 (49 #5006)
  • Melvin Hochster, Constraints on systems of parameters, Ring theory (Proc. Conf., Univ. Oklahoma, Norman, Okla., 1973) Dekker, New York., 1974, pp. 121–161. Lecture Notes in Pure and Appl. Math., Vol. 7. MR 0330156 (48 #8494)
  • M. Hochster, Grade-sensitive modules and perfect modules, Proc. London Math. Soc. (3) 29 (1974), 55–76. MR 0374118 (51 #10318)
  • Melvin Hochster, Associated graded rings derived from integrally closed ideals and the local homological conjectures, Algebra Colloquium (Rennes, 1980) Univ. Rennes, Rennes, 1980, pp. 1–27. MR 645209 (83h:13031)
  • C. Peskine and L. Szpiro, Dimension projective finie et cohomologie locale. Applications à la démonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck, Inst. Hautes Études Sci. Publ. Math. 42 (1973), 47–119 (French). MR 0374130 (51 #10330)

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PII: S 0002-9904(1974)13548-2

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