2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63071In this paper, we study simplicial commutative algebras with finite André-Quillen homology. Here we restrict our focus to simplicial algebras having characteristic 2. Our aim is to find a generalization of results established by the author. Our goal is to replace the finiteness condition on homotopy with a weaker condition expressed in terms of nilpotency for the action of the homotopy operations. Coupled with the finiteness assumption on André-Quillen homology, this nilpotency condition provides a way to bound the height at which the homology vanishes. As a consequence, we establish a special case of an open conjecture of Quillen.17 pagesCommutative AlgebraAlgebraic TopologyQuantum AlgebraRings and Algebras13D03, 13D05, 13H10, 18G30, 55S99text