Stratifying Systems through τ\tau-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
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Abstract

In this paper we first show that every non-zero τ\tau-rigid AA-module induces at least one stratifying system in the module category of AA. Moreover, we show that each of these stratifying systems can be seen as a signed τ\tau-exceptional sequence.

Cite this article

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

DOI 10.4171/DM/759