Endomorphism rings of essential extensions of a noetherian module |
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| Authors: | M. G. Deshpande E. H. Feller |
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| Affiliation: | 1. Department of Mathematics and Statistics, Marquette University, Milwaukee, Wisconsin, USA
2. Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin, USA
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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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