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Endomorphism rings of essential extensions of a noetherian module

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Abstract

Nil subrings of the ring of endomorphisms of the rational completion of a noetherian module are nilpotent. If the quasi-injective hull of a noetherian module is contained in its rational completion, then the ring of endomorphisms of the former is semi-primary.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Marquette University, Milwaukee, Wisconsin, USA

    M. G. Deshpande & E. H. Feller

  2. Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin, USA

    M. G. Deshpande & E. H. Feller

Authors
  1. M. G. Deshpande
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  2. E. H. Feller
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Deshpande, M.G., Feller, E.H. Endomorphism rings of essential extensions of a noetherian module. Israel J. Math. 17, 46–49 (1974). https://doi.org/10.1007/BF02756823

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  • DOI: https://doi.org/10.1007/BF02756823

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