On the projectivity of finitely generated flat module

• A. Tarizade ^[1]
  1. [1] University of Maragheh

     University of Maragheh

     Irán

     
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 35, Nº 1, 2020, págs. 55-67
• Idioma: inglés
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• Resumen

  • In this paper, the projectivity of a finitely generated flat module of a commutative ring is studied through its exterior powers and invariant factors and then various new results are obtained.

    Specially, the related results of Endo, Vasconcelos, Wiegand, Cox-Rush and Puninski-Rothmaler on the projectivity of finitely generated flat modules are generalized