A solution to the baer splitting problem

Lidia Angeleri Hügel, Silvana Bazzoni, Dolors Herbera

Research output: Contribution to journalArticleResearchpeer-review

19 Citations (Scopus)

Abstract

Abstract. Let R be a commutative domain. We prove that an R-module B is projective if and only if Ext1R(B, T) = 0 for any torsion module T. This answers in the affirmative a question raised by Kaplansky in 1962. © 2007 American Mathematical Society.
Original languageEnglish
Pages (from-to)2409-2421
JournalTransactions of the American Mathematical Society
Volume360
DOIs
Publication statusPublished - 1 May 2008

Keywords

  • Baer modules
  • Mittag-Leffler inverse systems

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