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First neighborhood complete ideals in two-dimensional Muhly local domains are projectively full
Author(s):
Raymond
Debremaeker
Journal:
Proc. Amer. Math. Soc.
137
(2009),
1649-1656.
MSC (2000):
Primary 13B22, 13H10
Posted:
December 10, 2008
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Abstract:
Let  be a two-dimensional Muhly local domain, i.e., an integrally closed Noetherian local domain with algebraically closed residue field and the associated graded ring an integrally closed domain. Motivated by recent work of Ciuperca, Heinzer, Ratliff and Rush on projectively full ideals, we prove that every complete ideal adjacent to the maximal ideal  is projectively full.
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Additional Information:
Raymond
Debremaeker
Affiliation:
Department of Mathematics, Katholieke Universiteit, Leuven, Celestijnenlaan 200B-Box 2400, BE-3001 Leuven, Belgium
Email:
raymond.debremaeker@wis.kuleuven.be
DOI:
10.1090/S0002-9939-08-09735-9
PII:
S 0002-9939(08)09735-9
Keywords:
First neighborhood complete ideal,
Muhly local domain,
projectively equivalent ideals,
projectively full ideal
Received by editor(s):
May 8, 2008,
Received by editor(s) in revised form:
August 6, 2008
Posted:
December 10, 2008
Communicated by:
Bernd Ulrich
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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