On residually ideals and projective dimension one modules
Authors:
Alberto Corso and Claudia Polini
Journal:
Proc. Amer. Math. Soc. 129 (2001), 13091315
MSC (2000):
Primary 13A30; Secondary 13B22, 13C10, 13C40
Published electronically:
October 25, 2000
MathSciNet review:
1814157
Fulltext PDF Free Access
Abstract 
References 
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Additional Information
Abstract: We prove that certain modules are faithful. This enables us to draw consequences about the reduction number and the integral closure of some classes of ideals.
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Additional Information
Alberto Corso
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
Address at time of publication:
Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506
Email:
corso@math.msu.edu, corso@ms.uky.edu
Claudia Polini
Affiliation:
Department of Mathematics, Hope College, Holland, Michigan 49422
Address at time of publication:
Department of Mathematics, University of Oregon, Eugene, Oregon 97403
Email:
polini@cs.hope.edu, polini@math.uoregon.edu
DOI:
http://dx.doi.org/10.1090/S0002993900056963
PII:
S 00029939(00)056963
Keywords:
Residual intersections,
$G_s$ properties,
reductions and reduction number of ideals,
integral closure of ideals,
Rees algebras of modules
Received by editor(s):
May 18, 1999
Received by editor(s) in revised form:
August 29, 1999
Published electronically:
October 25, 2000
Additional Notes:
Both authors sincerely thank Bernd Ulrich for many helpful discussions they had concerning the material in this paper. The NSF, under grant DMS9970344, has also partially supported the research of the second author and has therefore her heartfelt thanks.
Communicated by:
Wolmer V. Vasconcelos
Article copyright:
© Copyright 2000
American Mathematical Society
