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math.CT2025
Monobricks in extriangulated length categories
Yuxia Mei, Li Wang, Jiaqun Wei
In this paper, we introduce the notation of monobricks in an extriangulated length category as a generalization of the semibricks. We prove that there is a bijection between monobr…
math.RT2025
The first Brauer-Thrall conjecture for extriangulated length categories
Li Wang, Jiaqun Wei
Let be a length category. We introduce the notation of Gabriel-Roiter measure with respect to and extend Gabriel's main property to this setting. Using this m…
math.RT2025
Extriangulated length categories: torsion classes and -tilting theory
Li Wang, Jiaqun Wei, Haicheng Zhang +1
This paper introduces the notion of extriangulated length categories, whose prototypical examples include abelian length categories and bounded derived categories of finite dimensi…