A note on the Hasse quiver of $\tau$-tilting modules

Abstract

Let $\Lambda$ be an algebra with a indecomposable projective-injective module. Adachi gave a method to construct the Hasse quiver of support $\tau$-tilting $\Lambda$-modules. In this paper, we will show that it can be restricted to $\tau$-tilting modules.

6 pages, to appear JAA