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Local rings of finite simplicial dimension
Author(s):
Luchezar L.
Avramov
Journal:
Bull. Amer. Math. Soc.
10
(1984),
289-291.
MSC (1980):
Primary 13H10, 18H20;
Secondary 13D10
MathSciNet review:
733698
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Additional information
References:
- 1.
- M. André, Méthode simpliciale en algèbre homologique et algèbre commutative, Lecture Notes in Math., vol. 32, Springer-Verlag, 1967. MR 214644
- 2.
- L. L. Avramov, Local algebra and rational homotopy, Proc. Conf. Méthodes d'Algèbre Homotopique en Topologie, Astérisque, April 1984. MR 749041
- 3.
- L. L. Avramov, Homotopy Lie algebras for commutative rings and DG algebras (to appear).
- 4.
- L. L. Avramov and S. Halperin, On the structure of the homotopy Lie algebra of a local ring, Proc. Conf. Méthodes d'Algèbre Homotopique en Topologie, Astérisque, April 1984. MR 749050
- 5.
- I. K. Babenko, On the analytic properties of Poincaré series of loop spaces, Mat. Zametki 27 (1980), 751-765 (Russian); English Transl. in Math. Notes 29 (1980), 359-366. MR 578259
- 6.
- H. Cartan, Algèbre d'Eilenberg-Mac Lane et homotopie, Sém. E.N.S., 1954/55 (Exp. No. 9), Secrétariat Math., Paris, 1956. MR 81477
- 7.
- A. Dold, Homology of symmetric products and other functors of complexes, Ann. of Math. (2) 68 (1958), 54-80. MR 97057
- 8.
- A. Dold and R. Thom, Quasifaserungen und unendliche symmetrische Produkte, Ann. of Math. (2) 67 (1958), 239-281. MR 97062
- 9.
- Y. Felix and J.-C. Thomas, The radius of convergence of Poincaré series of loop spaces, Invent. Math. 68 (1982), 257-274. MR 666163
- 10.
- T. H. Gulliksen, A homological characterization of local complete intersections, Compositio Math. 23 (1971), 251-256. MR 301008
- 11.
- D. Quillen, On the (co-)homology of commutative rings, Proc. Sympos. Pure Math., vol. 17, Amer. Math. Soc., Providence, R.I., 1970, pp. 65-87. MR 257068
- 12.
- J.-P. Serre, Cohomologie modulo 2 des complexes d'Eilenberg-Mac Lane, Comment. Math. Helv. 27 (1953), 198-231. MR 60234
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Additional Information:
DOI:
10.1090/S0273-0979-1984-15250-9
PII:
S 0273-0979(1984)15250-9
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