A τ-tilting approach to the first Brauer-Thrall conjecture

2020/04/29 by Schroll, Sibylle, Treffinger, Hipolito · 1 citation
#FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2004.14221

Abstract

In this paper we study the behaviour of modules over finite dimensional algebras whose endomorphism algebra is a division ring. We show that there are finitely many such modules in the module category of an algebra if and only if the length of all such modules is bounded.

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