Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mono: an algebraic study of torus closures   Given an ideal I in a polynomial ring, we consider the largest monomial
subideal contained in I, denoted mono(I). We study mono as an interesting
operation in its own right, guided by questions that arise from comparing the
Betti tables of I and mono(I). Many examples are given throughout to illustrate
the phenomena that can occur.

29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph