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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
MathSciNet review: 695246
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Abstract: A condition on the syzygies of a module is given which implies the rationality of certain Poincaré-Betti series.


References [Enhancements On Off] (What's this?)

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  • [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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DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0695246-1
Article copyright: © Copyright 1983 American Mathematical Society