Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tensor products of finitely cocomplete and abelian categories   The purpose of this article is to study the existence of Deligne's tensor
product of abelian categories by comparing it with the well-known ten- sor
product of finitely cocomplete categories. The main result states that the
former exists precisely when the latter is an abelian category, and moreover in
this case both tensor products coincide. An example of two abelian categories
whose Deligne tensor product does not exist is given.

14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg