Equivalence of Some Homological Conditions for Ring Epimorphisms

Alberto Facchini, Zahra Nazemian

Let $R$ be a right and left Ore ring, $S$ its set of regular elements and $Q=R[S^{-1}]=[S^{-1}]R$ the classical ring of quotients of $R$. We prove that if F.dim$(Q_Q)=0$, th…