Stratifying Systems through $\tau$-Tilting Theory

Octavio Mendoza Hernández; Hipolito Treffinger

doi:10.4171/dm/759

JournalsdmVol. 25pp. 701–720

Stratifying Systems through $τ$ -Tilting Theory

Octavio Mendoza Hernández
Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, Ciudad Universitaria C.P. 04510, Ciudad de México, México
Hipolito Treffinger
Department of Mathematics, University of Leicester, University Road, Leicester LE1 7RH, United Kingdom

$Stratifying Systems through $\tau$-Tilting Theory cover$

Download PDF

This article is published open access.

Abstract

In this paper we first show that every non-zero $τ$ -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 $τ$ -exceptional sequence.

Cite this article

Octavio Mendoza Hernández, Hipolito Treffinger, Stratifying Systems through $τ$ -Tilting Theory. Doc. Math. 25 (2020), pp. 701–720

DOI 10.4171/DM/759