INVESTIGADORES
TREFFINGER CIENFUEGOS Hipolito JosÉ
artículos
Título:
On band modules and τ -tilting finiteness
Autor/es:
SCHROLL, SIBYLLE; TREFFINGER, HIPOLITO; VALDIVIESO, YADIRA
Revista:
MATHEMATISCHE ZEITSCHRIFT
Editorial:
SPRINGER
Referencias:
Año: 2021 vol. 299 p. 2405 - 2417
ISSN:
0025-5874
Resumen:
In this paper, motivated by a τ-tilting version of the Brauer-Thrall Conjectures, we study general properties of band modules and their endomorphisms in the module category of a finite dimensional algebra. As an application we describe properties of torsion classes containing band modules. Furthermore, we show that a special biserial algebra is τ-tilting finite if and only if no band module is a brick. We also recover a criterion for the τ-tilting finiteness of Brauer graph algebras in terms of the Brauer graph.
