Abstract:Communicated by E.M. Friedlander MSC: Primary: 13D03 secondary: 13D07 13H10 18G30 55U35 a b s t r a c t In [D. Quillen, On the (co)homology of commutative rings, Proc. Symp. Pure Math. 17 (1970) 65-87; L. Avramov, Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology, Annals of Math. 2 (150) (1999) 455-487] a conjecture was posed to the effect that if R → A is a homomorphism of Noetherian commutative rings then the flat dimension, as defined in the deriv… Show more
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