A Dedekind-Mertens theorem for power series rings

Author:

Epstein Neil,Shapiro Jay

Abstract

We prove a power series ring analogue of the Dedekind-Mertens lemma. Along the way, we give limiting counterexamples, we note an application to integrality, and we correct an error in the literature.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference12 articles.

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5. [Ded92] Richard Dedekind, Über einen arithmetischen Satz von Gauß, Mittheilungen der Deutschen Mathematischen Gesellschaft in Prag, Tempsky, 1892, pp. 1–11.

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