English

Stratifying systems through $\tau$-tilting theory

Representation Theory 2020-05-28 v2 Rings and Algebras

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.

Keywords

Cite

@article{arxiv.1904.11903,
  title  = {Stratifying systems through $\tau$-tilting theory},
  author = {Octavio Mendoza and Hipolito Treffinger},
  journal= {arXiv preprint arXiv:1904.11903},
  year   = {2020}
}

Comments

Major copyediting of the text. No substantial mathematical changes. Accepted for publication in Documenta Mathematica

R2 v1 2026-06-23T08:50:36.897Z