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Derivations and nil ideals

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Abstract

IfR is a torsion free ring, then the nil radical ofR is stable relative to any derivation ofR. In this note, we show the same is true for the Levitzki radical ofR, which is the largest locally nilpotent ideal ofR.

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References

  1. Dixmier J.,Enveloping Algebras, North-Holland Publishing Company, New York 1977.

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  2. Jordan D.A.,Noetherian Ore Extensions and Jacobson Rings, J. London Math. Soc. (2),10 (1975), 281–291.

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Authors and Affiliations

  1. Department of Mathematics, University of Chicago, 606637, Chicago, II

    Gail Letzter

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  1. Gail Letzter
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Letzter, G. Derivations and nil ideals. Rend. Circ. Mat. Palermo 37, 174–176 (1988). https://doi.org/10.1007/BF02844521

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  • DOI: https://doi.org/10.1007/BF02844521

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