Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Structure of principal one-sided ideals   We give a thorough structural analysis of the principal one-sided ideals of
arbitrary semigroups, and then apply this to full transformation semigroups and
symmetric inverse monoids. One-sided ideals of these semigroups naturally occur
as semigroups of transformations with restricted range or kernel.

9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas