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A solution to the Baer splitting problem |
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| Authors: | Lidia Angeleri Hü gel Silvana Bazzoni Dolors Herbera |
| Affiliation: | Dipartimento di Informatica e Comunicazione, Università degli Studi dell'Insubria, Via Mazzini 5, I - 21100 Varese, Italy ; Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Trieste 63, I-35121 Padova, Italy ; Departament de Matemàtiques, Universitat Autònoma de Barcelona, E-08193 Bellaterra (Barcelona), Spain |
| Abstract: | Let  be a commutative domain. We prove that an  -module  is projective if and only if  for any torsion module  . This answers in the affirmative a question raised by Kaplansky in 1962. |
| Keywords: | Baer modules Mittag-Leffler inverse systems |
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