On the non-periodic stable Auslander--Reiten Heller component for the Kronecker algebra over a complete discrete valuation ring

Kengo Miyamoto

We consider the Kronecker algebra $A=\mathcal{O}[X,Y]/(X^2,Y^2)$, where $\mathcal{O}$ is a complete discrete valuation ring. Since $A\otimes \kappa$ is a special biserial algebra, whe…