Modules de Gorenstein et modules canoniques

Jean-Etienne Bertin

Séminaire Dubreil. Algèbre et théorie des nombres (1974-1975)

  • Volume: 28, Issue: 1, page 1-9

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Bertin, Jean-Etienne. "Modules de Gorenstein et modules canoniques." Séminaire Dubreil. Algèbre et théorie des nombres 28.1 (1974-1975): 1-9. <http://eudml.org/doc/111496>.

@article{Bertin1974-1975,
author = {Bertin, Jean-Etienne},
journal = {Séminaire Dubreil. Algèbre et théorie des nombres},
language = {fre},
number = {1},
pages = {1-9},
publisher = {Secrétariat mathématique},
title = {Modules de Gorenstein et modules canoniques},
url = {http://eudml.org/doc/111496},
volume = {28},
year = {1974-1975},
}

TY - JOUR
AU - Bertin, Jean-Etienne
TI - Modules de Gorenstein et modules canoniques
JO - Séminaire Dubreil. Algèbre et théorie des nombres
PY - 1974-1975
PB - Secrétariat mathématique
VL - 28
IS - 1
SP - 1
EP - 9
LA - fre
UR - http://eudml.org/doc/111496
ER -

References

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  1. [1] Auslander ( M.) and Goldman ( O.). - The Brauer group of a commutative ring. Trans. Amer. math. Soc., t. 97, 1960, p. 367-409. Zbl0100.26304MR121392
  2. [2] Bass ( H.). - On the ubiquity of Gorenstein rings, Math. Z., t. 82, 1963, p. 8-28. Zbl0112.26604MR153708
  3. [3] Ferrand ( D.) et Raynaud ( M.). - Fibres formelles d'un anneau local noethérien, Ann. scient. Ec. Norm. Sup., 4e série, t. 3, 1970, p. 295-311. Zbl0204.36601MR272779
  4. [4] Fossum, Griffith and Reiten. - The homological algebra of trivial extensions of abelian categories with application to ring theory (à paraître). Zbl0303.18006
  5. [5] Foxby ( H.B.). - Gorenstein modules and related modules, Math. Scand., t. 31, 1972, p. 267-284. Zbl0272.13009MR327752
  6. [6] Levin ( G.) and Vasconcelos ( W.V.). - Homological dimensions and Macaulay rings, Pacifie J. Math., t. 25, 1968, p. 315-323. Zbl0161.03903MR230715
  7. [7] Matlis ( E.). - Injective modules over noetherian rings, Pacific J. of Math., t. 8, 1958, p. 511-528. Zbl0084.26601MR99360
  8. [8] Matlis ( E.). - Modules with descending chain condition, Trans. Amer. math. Soc., t. 97, 1960, p. 495-508. Zbl0094.25203MR169879
  9. [9] Raynaud ( M.). - Anneaux locaux henséliens. - Berlin, Heidelberg, New York, Springer-Verlag, 1970 (Lecture Notes in Mathematics, 169). Zbl0203.05102MR277519
  10. [10] Rees ( D.). - The grade of an idéal or module, Proc. Cambridge phil. Soc., t. 53, 1957, p. 28-42. Zbl0079.26602MR82967
  11. [11] Reiten ( I.). - The converse to a theorem of Sharp on Gorenstein modules, Proc. Amer. math. Soc., t. 32, 1972, p. 417-420. Zbl0235.13016MR296067
  12. [12] Sharp ( R.Y.). - Gorenstein modules, Math. Z., t. 115, 1970, p. 117-139. Zbl0186.07403MR263801
  13. [13] Sharp ( R.Y.). - On Gorenstein modules over complete Cohen-Macaulay local ring, Quart. J. of Math., Oxford Series, t.22, 1971, p. 425-434. Zbl0221.13016MR289504
  14. [14] Sharp ( R.Y.). - Finitely generated modules of finite injective dimension over certain Cohen-Macaulay rings, Proc. London math. Soc., t. 25, 1972, p. 303-328. Zbl0244.13015MR306188

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