Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Projective modules of $0$-Schur algebras   We study the structure of the $0$-Schur algebra $S_0(n, r)$ following the
geometric construction of $S_0(n, r)$ by Jensen and Su \cite{JS}. The main
results are the construction and classification of indecomposable projective
modules. In addition, we construct bases of these modules and their
homomorphism spaces. We also give a filtration of projective modules, which
leads to a decomposition of $S_0(n,r)$ into indecomposable left modules.

11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org