A solution to the Baer splitting problem
Lidia Angeleri Hügel, Silvana Bazzoni, Dolors Herbera
Abstract
Let R be a commutative domain. We prove that an R-module B is projective if and only if Ext1(B,T)=0 for any torsion module T. This answers in the affirmative a question raised by Kaplansky in 1962.
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