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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Ultimately closed projective resolutions and rationality of Poincaré-Betti series
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by George V. Wilson PDF
Proc. Amer. Math. Soc. 88 (1983), 221-223 Request permission

Abstract:

A condition on the syzygies of a module is given which implies the rationality of certain Poincaré-Betti series.
References
  • David J. Anick, A counterexample to a conjecture of Serre, Ann. of Math. (2) 115 (1982), no. 1, 1–33. MR 644015, DOI 10.2307/1971338
  • 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) Lecture Notes in Math., Vol. 353, Springer, Berlin, 1973, pp. 8–71. MR 0335575
  • J. P. Jans, Some generalizations of finite projective dimension, Illinois J. Math. 5 (1961), 334–344. MR 183748
  • 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
  • © Copyright 1983 American Mathematical Society
  • 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