Principal gradient schemes have regular reduced closed subschemes

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174644We prove that principal gradient schemes have regular reduced subschemes. We also obtain a regularity criterion for reduced quotient rings.Algebraic GeometryCommutative Algebra14B05; 14B20; 13J05Principal gradient schemes have regular reduced closed subschemestext