Osamu Iyama, Idun Reiten, Hugh Thomas, Gordana Todorov
Published 2013-12-12, updated 2015-03-04Version 2
We consider module categories of path algebras of connected acyclic quivers. It is shown in this paper that the set of functorially finite torsion classes form a lattice if and only if the quiver is either Dynkin quiver of type A, D, E, or the quiver has exactly two vertices.
Comments: 10 pages. Minor errors are corrected, and references are updated in the second version
Lattice structure of torsion classes for hereditary artin algebras
Distributive lattices of tilting modules and support $τ$-tilting modules over path algebras
On tensor products of path algebras of type A
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