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Algebras without noetherian filtrations
Author(s):
J.
T.
Stafford;
J.
J.
Zhang
Journal:
Proc. Amer. Math. Soc.
131
(2003),
1329-1338.
MSC (2000):
Primary 16P40, 16P90, 16R99, 16W70
Posted:
December 6, 2002
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Abstract:
We provide examples of finitely generated noetherian PI algebras for which there is no finite dimensional filtration with a noetherian associated graded ring; thus we answer negatively a question of Lorenz (1988).
References:
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Additional Information:
J.
T.
Stafford
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109
Email:
jts@umich.edu
J.
J.
Zhang
Affiliation:
Department of Mathematics, Box 354350, University of Washington, Seattle, Washington 98195
Email:
zhang@math.washington.edu
DOI:
10.1090/S0002-9939-02-06972-1
PII:
S 0002-9939(02)06972-1
Keywords:
PI algebra,
noetherian filtration,
associated graded ring
Received by editor(s):
September 25, 2000
Posted:
December 6, 2002
Additional Notes:
Both authors were supported in part by the NSF. The second author was also supported by the Royalty Research Fund of the University of Washington
Communicated by:
Lance W. Small
Copyright of article:
Copyright
2002,
American Mathematical Society
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