A counterexample to the rigidity conjecture for rings-Reference-Cited by-同舟云学术

A counterexample to the rigidity conjecture for rings

Published:1993 Issue:1 Volume:29 Page:94-97
ISSN:0273-0979
Container-title:Bulletin of the American Mathematical Society
language:en
Short-container-title:Bull. Amer. Math. Soc.

Author:

Heitmann Raymond C.

Abstract

An example is constructed of a local ring and a module of finite type and finite projective dimension over that ring such that the module is not rigid. This shows that the rigidity conjecture is false.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/bull/1993-29-01/S0273-0979-1993-00410-5/S0273-0979-1993-00410-5.pdf

Reference8 articles.

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2. Divisors on varieties of complexes;Bruns, Winfried;Math. Ann.,1983

3. Modules of finite projective dimension with negative intersection multiplicities;Dutta, Sankar P.;Invent. Math.,1985

4. Conference Board of the Mathematical Sciences Regional Conference Series in Mathematics, No. 24;Hochster, Melvin,1975

5. On the vanishing of 𝑇𝑜𝑟 in regular local rings;Lichtenbaum, Stephen;Illinois J. Math.,1966

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