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Nil subsets of graded algebras
Author(s):
S.
Montgomery;
L.
W.
Small
Journal:
Proc. Amer. Math. Soc.
126
(1998),
653-656.
MSC (1991):
Primary 16N40, 16W40, 16P40;
Secondary 16S30
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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.
References:
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Additional 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
Email:
lwsmall@uscd.edu
DOI:
10.1090/S0002-9939-98-04131-8
PII:
S 0002-9939(98)04131-8
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 of article:
Copyright
1998,
American Mathematical Society
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