Some model theory of modules over Bézout domains. The width

• Gena Puninski ^[1] ; Carlo Toffalori ^[2]
  1. [1] Belarusian State University

     Belarusian State University

     Bielorrusia

     
  2. [2] Università di Camerino

     Università di Camerino

     Camerino, Italia

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 4 ((April 2015) ), 2015, págs. 807-829
• Idioma: inglés
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• Resumen

  • We will develop the model theory of modules over commutative Bézout domains. In particular we characterize commutative Bézout domains B whose lattice of pp-formulae has no width and give some applications to the existence of superdecomposable pure injective B-modules.