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 language | English |
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Article number | 2250245 |
Journal | Journal of Algebra and its Applications |
Volume | 21 |
Issue number | 9 |
DOIs | |
State | Published - 1 Sep 2022 |
Keywords
- FP-injective module
- G-flat module
- Gorenstein Prüfer domain
- Prüfer domain