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The ring of endomorphisms of a finite dimensional module

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Abstract

LetS denote the ring of endomorphisms of a finite dimensional moduleM R. Necessary and sufficient conditions for a nil subring ofS to be nilpotent are given. We place conditions onM R so that every nil subring ofS will be nilpotent.

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Authors and Affiliations

  1. Department of Mathematics, Southern Illinois University, Carbondale, Illionis

    Robert C. Shock

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  1. Robert C. Shock
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Shock, R.C. The ring of endomorphisms of a finite dimensional module. Israel J. Math. 11, 309–314 (1972). https://doi.org/10.1007/BF02789324

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  • DOI: https://doi.org/10.1007/BF02789324

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