A solution to the Baer splitting problem
Commutative Algebra
2007-05-23 v1 Rings and Algebras
Abstract
Let R be a commutative domain. We prove that an R-module B is projective if and only if Ext^1(B,T)=0 for any torsion module T. This answers in the affirmative a question raised by Kaplansky in 1962.
Cite
@article{arxiv.math/0602272,
title = {A solution to the Baer splitting problem},
author = {Lidia Angeleri Hügel and Silvana Bazzoni and Dolors Herbera},
journal= {arXiv preprint arXiv:math/0602272},
year = {2007}
}