Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nuclei of categories with tensor products   Following the analogy between algebras (monoids) and monoidal categories the
construction of nucleus for non-associative algebras is simulated on the
categorical level. Nuclei of categories of modules are considered as an
example.

21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an