2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123215In this note we show that the nilpotence conjecture for toric varieties is true over any regular coefficient ring containing Q.final version, to appear in Proc. AMSK-Theory and HomologyCommutative AlgebraPrimary 19D50; Secondary 13B40, 13K05, 20M25Global coefficient ring in the nilpotence conjecturetext