Cohen-Macaulay homological dimensions

Henrik Holm; Peter Jørgensen

Rendiconti del Seminario Matematico della Università di Padova (2007)

  • Volume: 117, page 87-112
  • ISSN: 0041-8994

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Holm, Henrik, and Jørgensen, Peter. "Cohen-Macaulay homological dimensions." Rendiconti del Seminario Matematico della Università di Padova 117 (2007): 87-112. <http://eudml.org/doc/108717>.

@article{Holm2007,
author = {Holm, Henrik, Jørgensen, Peter},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {87-112},
publisher = {Seminario Matematico of the University of Padua},
title = {Cohen-Macaulay homological dimensions},
url = {http://eudml.org/doc/108717},
volume = {117},
year = {2007},
}

TY - JOUR
AU - Holm, Henrik
AU - Jørgensen, Peter
TI - Cohen-Macaulay homological dimensions
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2007
PB - Seminario Matematico of the University of Padua
VL - 117
SP - 87
EP - 112
LA - eng
UR - http://eudml.org/doc/108717
ER -

References

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  2. [2] L. L. AVRAMOV - V. N. GASHAROV - I. V. PEEVA, Complete intersection dimension, Inst. Hautes Études Sci. Publ. Math. 86 (1997), pp. 67-114. Zbl0918.13008MR1608565
  3. [3] L. W. CHRISTENSEN, Gorenstein dimensions, Lecture Notes in Math., Vol. 1747, Springer, Berlin, 2000. Zbl0965.13010MR1799866
  4. [4] L. W. CHRISTENSEN, Semi-dualizing complexes and their Auslander categories, Trans. Amer. Math. Soc. 353 (2001), pp. 1839-1883. Zbl0969.13006MR1813596
  5. [5] L. W. CHRISTENSEN - A. FRANKILD - H. HOLM, On Gorenstein projective, injective and flat dimensions - a functorial description with applications, J. Algebra 302 (2006), pp. 231-279. Zbl1104.13008MR2236602
  6. [6] D. FERRAND - M. RAYNAUD, Fibres formelles d'un anneau local noethérien, Ann. Sci. École Norm. Sup. (4) 3 (1970), pp. 295-311. Zbl0204.36601MR272779
  7. [7] R. M. FOSSUM - P. A. GRIFFITH - I. REITEN, Trivial extensions of abelian categories. Homological algebra of trivial extensions of abelian categories with applications to ring theory, Lecture Notes in Math., Vol. 456, Springer, Berlin, 1975. Zbl0303.18006MR389981
  8. [8] A. A. GERKO, On homological dimensions, Sb. Math. 192 (2001), pp. 1165-1179. Zbl1029.13010MR1862245
  9. [9] H. HOLM, Gorenstein homological dimensions, J. Pure Appl. Algebra 189 (2004), pp. 167-193. Zbl1050.16003MR2038564
  10. [10] H. HOLM, P. JéRGENSEN, Semi-dualizing modules and related Gorenstein homological dimensions, J. Pure Appl. Algebra 205 (2006), pp. 423-445. Zbl1094.13021MR2203625
  11. [11] M. RAYNAUD - L. GRUSON, Critères de platitude et de projectivité. Techniques de ``platification'' d'un module, Invent. Math. 13 (1971), pp. 1-89. Zbl0227.14010MR308104

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