On finitely generated G-flat modules over domains

초록

Let R be a domain. It is proved that if wG-gldim(R) < infinity, 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 Prufer domain if and only if FP -id(R)(R) <= 1, if and only if wG-gldim(R) <= 1.

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