Algebras without noetherian filtrations

Stafford, J.; Zhang, J.

doi:10.1090/S0002-9939-02-06972-1

Algebras without noetherian filtrations
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by J. T. Stafford and J. J. Zhang PDF

Proc. Amer. Math. Soc. 131 (2003), 1329-1338 Request permission

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).

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