Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Crossed Modules in Modified Categories of Interest   We introduce some algebraic structures such as singularity, commutators and
central extension in modified categories of interest. Additionally, we
introduce the cat$^{1}$-objects with their connection to crossed modules in
these categories which gives rise to unify many notions about (pre)crossed
modules in various algebras of categories.

35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an