Finite complete intersection dimension and vanishing of André–Quillen homology

AbstractLet A be a noetherian local ring, I an ideal of A, and B=A/I. In this paper we deal with the relationship among the finiteness of the complete intersection dimension of the A-module B (introduced by L.L. Avramov, V.N. Gasharov, and I.V. Peeva), the polynomial growth of the A-module B, and the vanishing of the André–Quillen homology functors Hn(A,B,−)