eLibM – Doc. Math. 25, 701-720 (2020)

Mendoza Hernández, Octavio; Treffinger, Hipolito

Stratifying Systems through \(\tau\)-Tilting Theory

Doc. Math. 25, 701-720 (2020)

DOI: 10.25537/dm.2020v25.701-720

Communicated by Henning Krause

Summary

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.

Mathematics Subject Classification

18G20, 18E40, 16D10, 16G20

Keywords/Phrases

stratifying system, \(\tau\)-tilting theory, \(\tau\)-exceptional sequence

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Affiliation

Mendoza Hernández, Octavio

Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, Ciudad Universitaria C.P. 04510, Ciudad de México, México

Treffinger, Hipolito

Department of Mathematics, University of Leicester, University Road, Leicester LE1 7RH, United Kingdom