Stratifying systems through $\tau$-tilting theory

Abstract

In this paper we first show that every non-zero $\tau$-rigid $A$-module induces at least one stratifying system in the module category of $A$. Moreover, we show that each of these stratifying systems can be seen as a signed $\tau$-exceptional sequence.

Major copyediting of the text. No substantial mathematical changes. Accepted for publication in Documenta Mathematica