Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A simple homological characterization of string algebras of finite
  representation type   We prove that among the finite dimensional algebras of finite representation
type those that are string algebras are precisely the ones that have the
property that the middle term of an arbitrary extension of indecomposable
modules has at most two direct factors. On the other hand, we show that
non-domestic string algebras are very far from having that property.

28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an