Abstract
In this paper we study conductors that occur in an integral extension of an unramified regular local ring S of mixed characteristic p>0 obtained by adjoining a pnth root ω of an element of S. We calculate the primary decomposition of the conductor of the integral closure of S[ω] and give some applications of this calculation. In particular, we show that under certain special circumstances, the integral closure of S[ω] admits a finitely generated, maximal Cohen–Macaulay module.
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