Stratifying Systems through $\tau$-Tilting Theory
Documenta mathematica, Tome 25 (2020), pp. 701-720
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.
Classification :
16D10, 16G20, 18E40, 18G20
Mots-clés : τ-tilting theory, stratifying system, τ-exceptional sequence
Mots-clés : τ-tilting theory, stratifying system, τ-exceptional sequence
@article{10_4171_dm_759,
author = {Octavio Mendoza Hern\'andez and Hipolito Treffinger},
title = {Stratifying {Systems} through $\tau${-Tilting} {Theory}},
journal = {Documenta mathematica},
pages = {701--720},
year = {2020},
volume = {25},
doi = {10.4171/dm/759},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/759/}
}
Octavio Mendoza Hernández; Hipolito Treffinger. Stratifying Systems through $\tau$-Tilting Theory. Documenta mathematica, Tome 25 (2020), pp. 701-720. doi: 10.4171/dm/759
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