Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localization, monoid sets and K-theory   We develop the K-theory of sets with an action of a pointed monoid (or monoid
scheme), analogous to the $K$-theory of modules over a ring (or scheme). In
order to form localization sequences, we construct the quotient category of a
nice regular category by a Serre subcategory.

17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
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The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph