Acyclicity of Complexes of Flat Modules
Acyclicity of Complexes of Flat Modules
Abstract Let R be a noetherian commutative ring, and a complex of flat R -modules. We prove that if is acyclic for every ρ ϵ Spec R , then is acyclic, and H 0 ( ) is R -flat. It follows that if is a (possibly unbounded) complex of flat …