Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Algebraic Proof for the Identities for Degree of Syzygies in
  Numerical Semigroup   In a recent paper by L. Fel two new identities for the degree of syzygies are
given. We present an algebraic proof of them, using only basic homological
algebra tools. We also extend these results.

12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci