2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139485Let D be a Noetherian domain containing a field, d a nonzero nonunit of D and z an indeterminate over D. We prove that the generic fiber of D[1/d][[z]] over D[[z]] has dimension greater than the dimension of D/dD.Commutative AlgebraAlgebraic Geometry13F25Generic fiber of power series ring extensionstext