On the existence of maximal Cohen-Macaulay modules over root extensions

Author:
Daniel Katz

Journal:
Proc. Amer. Math. Soc. **127** (1999), 2601-2609

MSC (1991):
Primary 13B21, 13B22, 13H05, 13H15

Published electronically:
April 15, 1999

MathSciNet review:
1605976

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be an unramified regular local ring having mixed characteristic and the integral closure of in a th root extension of its quotient field. We show that admits a finite, birational module such that . In other words, admits a maximal Cohen-Macaulay module.

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Additional Information

**Daniel Katz**

Affiliation:
Department of Mathematics, University of Kansas, Lawrence, Kansas 66045

Email:
dlk@math.ukans.edu

DOI:
http://dx.doi.org/10.1090/S0002-9939-99-04880-7

Received by editor(s):
August 26, 1997

Received by editor(s) in revised form:
November 26, 1997

Published electronically:
April 15, 1999

Communicated by:
Wolmer V. Vasconcelos

Article copyright:
© Copyright 1999
American Mathematical Society