Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isolated and nilpotent subsemigroups in the variants of $\IS$   All isolated, completely isolated, and nilpotent subsemigroups in the
semigroup $\IS$ of all injective partial transformations of an $n$-element set,
considered as a semigroup with a sandwich multiplication are described.

19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph