Maximilian Kaipel

$τ$-cluster morphism categories of factor algebras

We take a novel lattice-theoretic approach to the $τ$-cluster morphism category $\mathfrak{T}(A)$ of a finite-dimensional algebra $A$ and define the category via the lattice of torsion classes $\mathrm{tors } A$. Using the lattice congruence induced by an ideal $I$ of $A$ we establish a functor $F_I: \mathfrak{T}(A) \t...