Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher K-theory of polynomial categories   The main theorem in this paper is that the base change functor from an
abelian category $\cA$ to its polynomial category in the sense of Schlichting
$-\otimes_{\cA}\bbZ[t]:\cA \to \cA[t]$ induces an isomorphism on their
$K$-theories if $\cA$ is noetherian and has enough projective objects. The main
theorem implies the well-known fact that $\mathbb{A}^1$-homotopy invariance of
$K'$-theory for noetherian schemes.

16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an