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Group rings over Dedekind rings

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Abstract

Seghal posed the following question: IfA andB are rings, doesA[X,X −1] ℞B[X,X −1] implyA ℞B. In general the answer to this question is no. In this note we give an affirmative answer in the case thatA andB are Dedekind rings.

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Authors and Affiliations

  1. Department of Mathematics, Massachusetts Institute of Technology, 02139, Cambridge, MA, USA

    Michel Van Den Bergh

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  1. Michel Van Den Bergh
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The author is research assistant at the NFWO.

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Van Den Bergh, M. Group rings over Dedekind rings. Israel J. Math. 61, 295–300 (1988). https://doi.org/10.1007/BF02772574

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  • DOI: https://doi.org/10.1007/BF02772574

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