Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distributive lattices of tilting modules and support $\tau$-tilting
  modules over path algebras   In this paper we study the poset of basic tilting $kQ$-modules when $Q$ is a
Dynkin quiver, and the poset of basic support $\tau$-tilting $kQ$-modules when
$Q$ is a connected acyclic quiver respectively. It is shown that the first
poset is a distributive lattice if and only if $Q$ is of types $\mathbb{A}_{1},
\mathbb{A}_{2}$ or $\mathbb{A}_{3}$ with a nonlinear orientation and the second
poset is a distributive lattice if and only if $Q$ is of type $\mathbb{A}_{1}$.

24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin