Algebras without noetherian filtrations
classification
🧮 math.RA
keywords
noetherianalgebrasanswerassociateddimensionalexamplesfiltrationfiltrations
read the original 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 raised by M. Lorenz.
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