On band modules and $$\tau $$-tilting finiteness
Keyword(s):
AbstractIn this paper, motivated by a $$\tau $$ 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 $$\tau $$ τ -tilting finite if and only if no band module is a brick. We also recover a criterion for the $$\tau $$ τ -tilting finiteness of Brauer graph algebras in terms of the Brauer graph.
2019 ◽
Vol 2019
(756)
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pp. 183-226
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2020 ◽
Vol 296
(3-4)
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pp. 1157-1183
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2004 ◽
Vol 77
(1)
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pp. 123-128
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Keyword(s):
2019 ◽
Vol 13
(06)
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pp. 2050108
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