Open Access
Spring/Summer 2003 The Baer splitting problem in the twentyfirst century
Phillip Griffith
Illinois J. Math. 47(1-2): 237-250 (Spring/Summer 2003). DOI: 10.1215/ijm/1258488150

Abstract

The Baer splitting problem from the 1930s is revisited, after which, using current knowledge about maximal Cohen-Macaulay modules, the structure of Baer modules over regular integral domains of higher Krull dimension is explored. In particular, the countably generated ones in the local case are shown to be free.

Citation

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Phillip Griffith. "The Baer splitting problem in the twentyfirst century." Illinois J. Math. 47 (1-2) 237 - 250, Spring/Summer 2003. https://doi.org/10.1215/ijm/1258488150

Information

Published: Spring/Summer 2003
First available in Project Euclid: 17 November 2009

zbMATH: 1033.20062
MathSciNet: MR2031318
Digital Object Identifier: 10.1215/ijm/1258488150

Subjects:
Primary: 20K35
Secondary: 13C10 , 13C14 , 13H05

Rights: Copyright © 2003 University of Illinois at Urbana-Champaign

Vol.47 • No. 1-2 • Spring/Summer 2003
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