Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Primitive inverse semigroups of left I-quotients   A subsemigroup $S$ of an inverse semigroup $Q$ is a left I-order in $Q$, if
every element in $Q$ can be written as $a^{-1}b$ where $a, b \in S$ and
$a^{-1}$ is the inverse of $a$ in the sense of inverse semigroup theory. We
study a characterisation of semigroups which have a primitive inverse semigroup
of left I-quotients.

32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat