A solution to the Baer splitting problem

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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.

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Commutative Algebra, Rings and Algebras, 13C10 (Primary) 13D07 16P70 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/108947

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602272
 http://arxiv.org/abs/math/0602272

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arXiv