Geodesic
Stratifying Systems through $\tau$-Tilting Theory
Documenta mathematica, Tome 25 (2020), pp. 701-720.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 18G20, 18E40, 16D10, 16G20
Keywords: stratifying system, \(\tau\)-tilting theory, \(\tau\)-exceptional sequence 
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     author = {Mendoza Hern\'andez, Octavio and Treffinger, Hipolito},
     title = {Stratifying {Systems} through {\(\tau\)-Tilting} {Theory}},
     journal = {Documenta mathematica},
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     volume = {25},
     year = {2020},
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Mendoza Hernández, Octavio; Treffinger, Hipolito. Stratifying Systems through \(\tau\)-Tilting Theory. Documenta mathematica, Tome 25 (2020), pp. 701-720. http://geodesic.mathdoc.fr/item/DOCMA_2020__25__a48/