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.
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- [3] J. P. Jans, Some generalizations of finite projective dimension, Illinois J. Math. 5 (1961), 334-344. MR 0183748 (32:1226)
- [4] J.-E. Roos, Relations between the Poincaré-Betti series of loop spaces and local rings, Lecture Notes in Math., vol. 740, Springer, Berlin and New York, 1979, pp. 285-322. MR 563510 (81g:55019)
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1983-0695246-1
Article copyright:
© Copyright 1983
American Mathematical Society
