Minimal Prime Ideals of Ore Extensions over Commutative Dedekind Domains

Abstract

Let R = D[x;σ;δ] be an Ore extension over a commutative Dedekind domain D, where σ is an automorphism on D. In the case δ = 0 Marubayashi et. al. already investigated the class of minimal prime ideals in term of their contraction on the coefficient ring D. In this note we extend this result to a general case δ not 0.

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