2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148437We propose a generalization of a conjecture of D. Quillen, on the vanishing of André-Quillen homology, to simplicial commutative rings. This conjecture characterizes a notion of local complete intersection, extended to the simplicial setting, under a suitable hypothesis on the local characteristic. Further, under the condition of finite-type homology, we then prove the conjecture in the case of a simplicial commutative algebra augmented over a field of non-zero characteristic. As a consequence, we obtain a proof of Quillen's conjecture for a Noetherian commutative algebra - again augmented over a field of non-zero characteristic.14 pages, LaTeX2eAlgebraic GeometryCommutative AlgebraQuantum AlgebraPrimary: 13D03, 18G30, 18G55; Secondary: 13D40, 18G20, 55S45, 55T10text