Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

First neighborhood complete ideals in two-dimensional Muhly local domains are projectively full
HTML articles powered by AMS MathViewer

by Raymond Debremaeker PDF
Proc. Amer. Math. Soc. 137 (2009), 1649-1656 Request permission

Abstract:

Let $(R, \mathcal {M})$ 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 $\mathcal {M}$ is projectively full.

References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 13B22, 13H10
  • Retrieve articles in all journals with MSC (2000): 13B22, 13H10
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
  • Received by editor(s): May 8, 2008
  • Received by editor(s) in revised form: August 6, 2008
  • Published electronically: December 10, 2008
  • Communicated by: Bernd Ulrich
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 1649-1656
  • MSC (2000): Primary 13B22, 13H10
  • DOI: https://doi.org/10.1090/S0002-9939-08-09735-9
  • MathSciNet review: 2470823