Algebras without noetherian filtrations

J. J. Zhang; J. T. Stafford

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Algebras without noetherian filtrations

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arxiv math/0007035 v1 pith:SESSKSVH submitted 2000-07-06 math.RA

J. T. Stafford , J. J. Zhang This is my paper

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keywords noetherianalgebrasanswerassociateddimensionalexamplesfiltrationfiltrations

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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 raised by M. Lorenz.

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