Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On free resolutions of some semigroup rings   For some numerical semigroup rings of small embedding dimension, namely those
of embedding dimension 3, and symmetric or pseudosymmetric of embedding
dimension 4, presentations has been determined in the literature. We extend
these results by giving the whole graded minimal free resolutions explicitly.
Then we use these resolutions to determine some invariants of the semigroups
and certain interesting relations among them. Finally, we determine semigroups
of small embedding dimensions which have strongly indispensable resolutions.

15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph