The homological theory of maximal Cohen-Macaulay approximations

Maurice Auslander; Ragnar-Olaf Buchweitz

Mémoires de la Société Mathématique de France (1989)

  • Volume: 38, page 5-37
  • ISSN: 0249-633X

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Auslander, Maurice, and Buchweitz, Ragnar-Olaf. "The homological theory of maximal Cohen-Macaulay approximations." Mémoires de la Société Mathématique de France 38 (1989): 5-37. <http://eudml.org/doc/94882>.

@article{Auslander1989,
author = {Auslander, Maurice, Buchweitz, Ragnar-Olaf},
journal = {Mémoires de la Société Mathématique de France},
keywords = {noetherian local ring; dualizing module; maximal Cohen-Macaulay objects},
language = {eng},
pages = {5-37},
publisher = {Société mathématique de France},
title = {The homological theory of maximal Cohen-Macaulay approximations},
url = {http://eudml.org/doc/94882},
volume = {38},
year = {1989},
}

TY - JOUR
AU - Auslander, Maurice
AU - Buchweitz, Ragnar-Olaf
TI - The homological theory of maximal Cohen-Macaulay approximations
JO - Mémoires de la Société Mathématique de France
PY - 1989
PB - Société mathématique de France
VL - 38
SP - 5
EP - 37
LA - eng
KW - noetherian local ring; dualizing module; maximal Cohen-Macaulay objects
UR - http://eudml.org/doc/94882
ER -

References

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  1. [Ausl] Auslander, M. : Isolated singularities and existence of almost split sequences. In : Representation Theory II ; Lecture Notes 1178, p. 194-241, Springer Verlag, New York, 1986. Zbl0633.13007MR87j:13029
  2. [A-B] Auslander, M. ; Bridger, M. : “Stable Module Theory”, Mem. of the AMS 94, AMS Providence, 1969. Zbl0204.36402MR42 #4580
  3. [BBD] Beilinson, A.A. ; Bernstein, J. ; Deligne,D. : “Faisceaux pervers”, astèrisque 100, (1984). Zbl0536.14011
  4. [FGR] Fossum, R. ; Griffith, P.A. ; Reiten,I. : “Trivial Extensions of Abelian Categories”, Springer Lecture Notes in Math. 456, Springer Verlag, New York 1975. Zbl0303.18006MR52 #10810
  5. [Ha] Happel,D. : “Triangulated Categories in Representation Theory of Finite Dimensional Algebras”, Habilitationsschrift, Bielefeld 1985. 
  6. [He] Heller, A. : The loop-space functor in homological algebra, Trans. AMS 96, p. 382-394, (1960). Zbl0096.25502MR22 #6840
  7. [Qu] Quillen,D. : Higher algebraic K-theory I, in : Algebraic K-theory I, p. 85-147, Lecture Notes 341, Springer Verlag, New York, 1973. Zbl0292.18004MR49 #2895
  8. [Sh] Sharp, R.Y. : Finitely generated modules of finite injective dimension over certain Cohen-Macaulay rings, Proc. London Math. Soc. 25, p. 303-328, (1972). Zbl0244.13015MR46 #5315
  9. [SGA] Séminaire de Géométrie Algébrique IV and 41/2 ; Springer Lecture Notes in Math. 269, 270, 305 and 569, Springer Verlag, New York, 1970 ff. 

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