Abstract

Let R be a domain. It is proved that if wG-gldim(R) < ∞, then the class of finitely generated G-flat modules and the class of finitely generated G-projective modules coincide. It is also proved that an integrally closed domain R is a Prüfer domain if and only if FP-idR(R) ≤ 1, if and only if wG-gldim(R) ≤ 1.

Original languageEnglish
Article number2250245
JournalJournal of Algebra and its Applications
Volume21
Issue number9
DOIs
StatePublished - 1 Sep 2022

Keywords

  • FP-injective module
  • G-flat module
  • Gorenstein Prüfer domain
  • Prüfer domain

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