A 𝜏-tilting approach to the first Brauer-Thrall conjecture
S Schroll, H Treffinger - 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 …
endomorphism algebra is a division ring. We show that there are finitely many such modules …
Hom-orthogonal modules and brick-Brauer-Thrall conjectures
K Mousavand, C Paquette - arXiv preprint arXiv:2407.20877, 2024 - arxiv.org
For finite dimensional algebras over algebraically closed fields, we study the sets of pairwise
Hom-orthogonal modules and obtain new results on some open conjectures on the …
Hom-orthogonal modules and obtain new results on some open conjectures on the …
Geometric interactions between bricks and -rigidity
K Mousavand, C Paquette - arXiv preprint arXiv:2311.14863, 2023 - arxiv.org
For finite dimensional algebras over algebraically closed fields, we prove some new results
on the interactions between bricks and $\tau $-rigid modules, and also on their geometric …
on the interactions between bricks and $\tau $-rigid modules, and also on their geometric …