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Nil subsets of graded algebras |
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| Authors: | S Montgomery L W Small |
| Institution: | Department of Mathematics, University of Southern California, Los Angeles, California 90089 ; Department of Mathematics, University of California, La Jolla, California 92093 |
| Abstract: | We prove that if  is a Noetherian  -graded algebra, then the Jacobson radical of  is nilpotent under mild hypotheses on  . We also consider affine PI-algebras graded by torsion groups. Finally we prove a Nullstellensatz-type theorem for enveloping algebras of Lie color algebras. |
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