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Pure injectivity of n-cotilting modules: the Prüfer and the countable case

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Abstract.

We will prove that if a ring R is either countable or a Prüfer domain, then n-cotilting R-modules are pure injective. We can apply and modify a very nice argument due to Jensen and Lenzing [14] showing that algebraic compactness follows from splitting of canonical direct sums in cartesian products.

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Authors and Affiliations

  1. Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Belzoni 7, I-35131, Padova, Italy

    Silvana Bazzoni

  2. Fachbereich 6, Mathematik, Universität Duisburg-Essen, D-45117, Essen, Germany

    Rüdiger Göbel & Lutz Strüngmann

Authors
  1. Silvana Bazzoni
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  2. Rüdiger Göbel
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  3. Lutz Strüngmann
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Corresponding author

Correspondence to Silvana Bazzoni.

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Received: 3 February 2004

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Bazzoni, S., Göbel, R. & Strüngmann, L. Pure injectivity of n-cotilting modules: the Prüfer and the countable case. Arch. Math. 84, 216–224 (2005). https://doi.org/10.1007/s00013-004-1042-y

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  • DOI: https://doi.org/10.1007/s00013-004-1042-y

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