Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Projective modules over overrings of polynomial rings and a question of
  Quillen   Let $(R,\mm,K)$ be a regular local ring containing a field $k$ such that
either char $k=0$ or char $k=p$ and tr-deg $K/\BF_p\geq 1$. Let
$g_1,\ldots,g_t$ be regular parameters of $R$ which are linearly independent
modulo $\mm^2$. Let $A=R_{g_1\cdots g_t} [Y_1,\ldots,Y_m,f_1(l_1)^{-1},\ldots,
f_n(l_n)^{-1}]$, where $f_i(T)\in k[T]$ and $l_i=a_{i1}Y_1+\ldots+a_{im}Y_m$
with $(a_{i1},\ldots,a_{im})\in k^m-(0)$. Then every projective $A$-module of
rank $\geq t$ is free. Laurent polynomial case $f_i(l_i)=Y_i$ of this result is
due to Popescu.

15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys