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I-Adic completions of non-commutative rings

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Abstract

Some sufficient conditions are given for theI-adic completion of a non-commutative ringR to be Noetherian. The case considered is whenI is polycentral or has a normalising set of generators. In the polycentral case we use an associated graded ring argument.

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Authors and Affiliations

  1. School of Mathematics, University of Leeds, LS2 9JT, Leeds, England

    J. C. McConnell

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  1. J. C. McConnell
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Additional information

This paper was written while the author was a Fellow of the Institute for Advanced Studies. The Hebrew University, Mount Scopus, Jerusalem, Israel.

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McConnell, J.C. I-Adic completions of non-commutative rings. Israel J. Math. 32, 305–310 (1979). https://doi.org/10.1007/BF02760460

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  • DOI: https://doi.org/10.1007/BF02760460

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