Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



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
Full-text PDF

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.

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

  • [1] David J. Anick, A counterexample to a conjecture of Serre, Ann. of Math. (2) 115 (1982), no. 1, 1–33. MR 644015,
  • [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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 16A46, 16A60

Retrieve articles in all journals with MSC: 16A46, 16A60

Additional Information

Article copyright: © Copyright 1983 American Mathematical Society

American Mathematical Society