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arXiv · 2004.14221

A $\tau$-tilting approach to the first Brauer-Thrall conjecture

Sibylle Schroll·Hipolito Treffinger
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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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BibTeXRIS

Sibylle Schroll, Hipolito Treffinger. 2020-04-29. A $\tau$-tilting approach to the first Brauer-Thrall conjecture. https://arxiv.org/abs/2004.14221

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