Ultimately closed projective resolutions and rationality of Poincaré-Betti series
Author:
George V. Wilson
Journal:
Proc. Amer. Math. Soc. 88 (1983), 221-223
MSC:
Primary 16A46; Secondary 16A60
DOI:
https://doi.org/10.1090/S0002-9939-1983-0695246-1
MathSciNet review:
695246
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Abstract | References | Similar Articles | Additional Information
Abstract: A condition on the syzygies of a module is given which implies the rationality of certain Poincaré-Betti series.
- [1] David J. Anick, A counterexample to a conjecture of Serre, Ann. of Math. (2) 115 (1982), no. 1, 1–33. MR 644015, https://doi.org/10.2307/1971338
- [2] Maurice Auslander and Idun Reiten, Stable equivalence of Artin algebras, Proceedings of the Conference on Orders, Group Rings and Related Topics (Ohio State Univ., Columbus, Ohio, 1972) Springer, Berlin, 1973, pp. 8–71. Lecture Notes in Math., Vol. 353. MR 0335575
- [3] J. P. Jans, Some generalizations of finite projective dimension, Illinois J. Math. 5 (1961), 334–344. MR 0183748
- [4] Jan-Erik Roos, Relations between Poincaré-Betti series of loop spaces and of local rings, Séminaire d’Algèbre Paul Dubreil 31ème année (Paris, 1977–1978), Lecture Notes in Math., vol. 740, Springer, Berlin, 1979, pp. 285–322. MR 563510
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1983-0695246-1
Article copyright:
© Copyright 1983
American Mathematical Society
