Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Retracts and algebraic properties of cut algebras   We study cut algebras which are toric rings associated to graphs. The key
idea is to consider suitable retracts to understand algebraic properties and
invariants of such algebras like being a complete intersection, having a linear
resolution, or the Castelnuovo-Mumford regularity. Throughout the paper, we
discuss several examples and pose some problems as well.

4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph