We show that the mesh mutations are the minimal relations among the gg‐vectors with
respect to any initial seed in any finite‐type cluster algebra. We then use this algebraic result …

On the Combinatorics of Gentle Algebras Page 1 Canad. J. Math. Vol. 72 (), pp. – http://dx.doi.org/.
/SX ©Canadian Mathematical Society On the Combinatorics of Gentle Algebras omas Brüstle …

In this paper, we compute the posets of wide subcategories and ICE-closed subcategories
from the lattice of torsion classes in an abelian length category in a purely lattice-theoretical …

We compare the notions of τ-tilting finiteness and representation-finiteness of the biserial
algebras. In particular, we treat the minimal representation-infinite biserial algebras and give …

In τ-tilting theory, it is often difficult to determine when a set of bricks forms a 2-simple
minded collection. The aim of this paper is to determine when a set of bricks is contained in …

Motivated by the goal of studying cluster algebras in infinite type, we study the stability
domains of modules for the preprojective algebra in the corresponding infinite types …