Un diviseur de zéro induisant un élément d'homotopie central

Nicolas Dupont

Bulletin de la Société Mathématique de France (1997)

  • Volume: 125, Issue: 3, page 337-344
  • ISSN: 0037-9484

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Dupont, Nicolas. "Un diviseur de zéro induisant un élément d'homotopie central." Bulletin de la Société Mathématique de France 125.3 (1997): 337-344. <http://eudml.org/doc/87768>.

@article{Dupont1997,
author = {Dupont, Nicolas},
journal = {Bulletin de la Société Mathématique de France},
keywords = {rational homotopy; local algebra},
language = {fre},
number = {3},
pages = {337-344},
publisher = {Société mathématique de France},
title = {Un diviseur de zéro induisant un élément d'homotopie central},
url = {http://eudml.org/doc/87768},
volume = {125},
year = {1997},
}

TY - JOUR
AU - Dupont, Nicolas
TI - Un diviseur de zéro induisant un élément d'homotopie central
JO - Bulletin de la Société Mathématique de France
PY - 1997
PB - Société mathématique de France
VL - 125
IS - 3
SP - 337
EP - 344
LA - fre
KW - rational homotopy; local algebra
UR - http://eudml.org/doc/87768
ER -

References

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  1. [1] ANDRÉ (M.). — Hopf algebras with divided powers, J. Algebra, t. 18, 1971, p. 19-50. Zbl0217.07102MR43 #3323
  2. [2] ANDRÉ (M.). — Le caractère additif des déviations des anneaux locaux, Comment. Math. Helvetici, t. 57, 1982, p. 648-675. Zbl0509.13007MR85a:14006
  3. [3] AVRAMOV (L.L.). — Homological asymtotics of modules over local rings, Commutative algebra, Proceedings of a microprogram held June 15-July 2, ed. M. Hochters, C. Huneke and J.D. Sally, Springer-Verlag, 1989, p. 33-62. Zbl0788.18010MR90i:13014
  4. [4] AVRAMOV (L.L.). — Local algebra and rational homotopy, Homotopie algébrique et algèbre locale, journées S.M.F., éd. J.-M. Lemaire et J.-C. Thomas, Astérisque 113-114, Société Mathématique de France, 1984, p. 15-43. Zbl0552.13003MR85j:55021
  5. [5] HALPERIN (S.). — The non-vanishing of the deviations of a local ring, Comment. Math. Helvetici, t. 62, 1987, p. 646-653. Zbl0639.13011MR89d:13015
  6. [6] HALPERIN (S.) and STASHEFF (J.). — Obstructions to homotopy equivalences, Adv. in Math., t. 32, 1979, p. 233-279. Zbl0408.55009MR80j:55016
  7. [7] LEVIN (G.). — Homology of local rings, Ph.D. Thesis, Univ. of Chicago, 1965. 
  8. [8] LÖFWALL (C.). — Central elements and deformations of local rings, J. Pure and Applied Algebra, t. 91, 1994, p. 183-192. Zbl0798.55009MR95g:13018
  9. [9] MILNOR (J.) and MOORE (J.C.). — On the structure of Hopf algebras, Annals Math., t. 81, 1965, p. 211-264. Zbl0163.28202MR30 #4259
  10. [10] SJÖDIN (G.). — Hopf algebras and derivations, J. Algebra, t. 64, 1980, p. 218-229. Zbl0429.16008MR84a:16016
  11. [11] TATE (J.). — Homology of noetherian rings and local rings, Illinois J. Math., t. 1, 1957, p. 14-27. Zbl0079.05501MR19,119b

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