A solution to the Baer splitting problem
Open Access
- 11 December 2007
- journal article
- Published by American Mathematical Society (AMS) in Transactions of the American Mathematical Society
- Vol. 360 (5) , 2409-2421
Abstract
Let R R be a commutative domain. We prove that an R R -module B B is projective if and only if E x t R 1 ( B , T ) = 0 \mathrm {Ext}_R^1(B,T)=0 for any torsion module T T . This answers in the affirmative a question raised by Kaplansky in 1962.Keywords
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