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The Gorenstein Case

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2152))

Abstract

In this chapter we consider the case when S is a local Gorenstein ring.

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References

  1. M. Auslander, R.-O. Buchweitz, The homological theory of maximal Cohen-Macaulay approximations. Mm. Soc. Math. France (NS) 38, 5–37 (1989). Colloque en l’honneur de Pierre Samuel (Orsay, 1987)

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  2. L. Avramov, Modules of finite virtual projective dimension. Invent. Math. 96, 71–101 (1989)

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  3. L. Avramov, V. Gasharov, I. Peeva, Complete intersection dimension. Publ. Math. IHES 86, 67–114 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  4. S. Ding, Cohen-Macaulay approximations over a Gorenstein local ring. Ph.D. thesis, Brandeis University, 1990

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  5. D. Eisenbud, Commutative Algebra. With a View Toward Algebraic Geometry. Graduate Texts in Mathematics, vol. 150 (Springer, Berlin, 1995)

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Eisenbud, D., Peeva, I. (2016). The Gorenstein Case. In: Minimal Free Resolutions over Complete Intersections . Lecture Notes in Mathematics, vol 2152. Springer, Cham. https://doi.org/10.1007/978-3-319-26437-0_7

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