SPECTRA IN MODEL CATEGORIES AND APPLICATIONS TO THE ALGEBRAIC COTANGENT COMPLEX

Consider a commutative simplicial ring B which is an algebra over the rational numbers. We show that the homotopy theory of simplicial B-mod ules and the stable homotopy theory of augmented commutative B-algebra s are equivalent. In terms of this equivalence, we can identify Andre- Quillen homology as a stabilization process (suspension spectrum). (C) 1997 Elsevier Science B.V.