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Algebras without noetherian filtrations |
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| Authors: | J. T. Stafford J. J. Zhang |
| Affiliation: | Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109 ; Department of Mathematics, Box 354350, University of Washington, Seattle, Washington 98195 |
| 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). |
| Keywords: | PI algebra noetherian filtration associated graded ring |
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