Nil subsets of graded algebras
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- by S. Montgomery and L. W. Small
- Proc. Amer. Math. Soc. 126 (1998), 653-656
- DOI: https://doi.org/10.1090/S0002-9939-98-04131-8
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Abstract:
We prove that if $A$ is a Noetherian $\mathbf Z$-graded algebra, then the Jacobson radical of $A$ is nilpotent under mild hypotheses on $A_0$. We also consider affine PI-algebras graded by torsion groups. Finally we prove a Nullstellensatz-type theorem for enveloping algebras of Lie color algebras.References
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Bibliographic Information
- S. Montgomery
- Affiliation: Department of Mathematics, University of Southern California, Los Angeles, California 90089
- Email: smontgom@math.usc.edu
- L. W. Small
- Affiliation: Department of Mathematics, University of California, La Jolla, California 92093
- MR Author ID: 163815
- Email: lwsmall@uscd.edu
- Received by editor(s): June 17, 1996
- Received by editor(s) in revised form: August 23, 1996
- Additional Notes: Both authors were supported by the NSF
- Communicated by: Ken Goodearl
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 653-656
- MSC (1991): Primary 16N40, 16W40, 16P40; Secondary 16S30
- DOI: https://doi.org/10.1090/S0002-9939-98-04131-8
- MathSciNet review: 1423323