Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Criterion for global dimension two for strongly simply connected
  schurian algebras   The aim of this paper is to provide a criterion to determine, by quivers with
relations, when an algebra has global dimension at most two. In order to do
that, we introduce a new class of algebras of global dimension three, and we
call them critical algebras. Furthermore we give a characterization of critical
algebras by quivers with relations. Our main theorem states that if a strongly
simply connected schurian algebra does not contain a critical algebra as a full
subcategory, then it has global dimension at most two.

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The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph