2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62267In this paper we study the Kummer extensions of the power series field $K=k((X_1,...,X_n)$, where $k$ is an algebraically closed field of arbitrary characteristic.10 pages, no figuresCommutative Algebra13F25, 13J05On Kummer extensions of the power series fieldtext