A 𝜏-tilting approach to the first Brauer-Thrall conjecture
S Schroll, H Treffinger - Proceedings of the American Mathematical Society, 2022 - ams.org
Proceedings of the American Mathematical Society, 2022•ams.org
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.
References
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.
References
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. References
ams.org
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