The Algebraic Closure of the Power Series Field in Positive Characteristic

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77602We answer a question of Abhyankar by constructing an algebraic closure of the field of power series over a field of positive characteristic, using "generalized power series". (The corresponding construction in characteristic 0 dates back to Newton.)12 pages; uses AMSLaTeX. Added and corrected various corollariesAlgebraic GeometryCommutative AlgebraRings and Algebras12F05 (Primary) 14Q05 (Secondary)The Algebraic Closure of the Power Series Field in Positive Characteristictext