Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantized rank R matrices   First some old as well as new results about P.I. algebras, Ore extensions,
and degrees are presented. Then quantized $n\times r$ matrices as well as
quantized factor algebras of $M_q(n)$ are analyzed. The latter are the
quantized function algebra of rank $r$ matrices obtained by working modulo the
ideal generated by all $(r+1)\times (r+1)$ quantum subdeterminants and a
certain localization of this algebra is proved to be isomorphic to a more
manageable one. In all cases, the quantum parameter is a primitive $m$th roots
of unity. The degrees and centers of the algebras are determined when $m$ is a
prime and the general structure is obtained for arbitrary $m$.

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The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: quant-ph