Stratifying Systems through $\tau$-Tilting Theory
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.
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| Veröffentlicht in: | Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung. 2020, Vol.25, p.701-720 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. |
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| ISSN: | 1431-0635 1431-0643 |
| DOI: | 10.4171/dm/759 |