Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebras without noetherian filtrations   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.

9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org