Existence of unliftable modules

Author:
David A. Jorgensen

Journal:
Proc. Amer. Math. Soc. **127** (1999), 1575-1582

MSC (1991):
Primary 13D25, 13H99

DOI:
https://doi.org/10.1090/S0002-9939-99-04679-1

Published electronically:
February 5, 1999

MathSciNet review:
1476141

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a commutative Noetherian local ring, and let where is a non-zerodivisor of contained in . Then a finitely generated -module is said to *lift* to if there exists a finitely generated -module such that is -regular and . In this paper we give a general construction of finitely generated -modules of finite projective dimension over which fail to lift to provided and the depth of is at least 2.

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Additional Information

**David A. Jorgensen**

Affiliation:
Department of Mathematics, University of Texas, Austin, Texas 78712

Address at time of publication:
Department of Mathematics, University of Texas at Arlington, Arlington, Texas 76019

Email:
djorgens@math.uta.edu

DOI:
https://doi.org/10.1090/S0002-9939-99-04679-1

Keywords:
Lifting of modules,
free resolution,
lifting of complexes,
dualized complex

Received by editor(s):
June 10, 1997

Received by editor(s) in revised form:
September 4, 1997

Published electronically:
February 5, 1999

Communicated by:
Wolmer V. Vasconcelos

Article copyright:
© Copyright 1999
American Mathematical Society