Li Wang

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math.RT2025

The first Brauer-Thrall conjecture for extriangulated length categories

Li Wang, Jiaqun Wei

Let $(A, I^)$ be a length category. We introduce the notation of Gabriel-Roiter measure with respect to $I^$ and extend Gabriel's main property to this setting. Using this…

math.RT2025

Extriangulated length categories: torsion classes and $I ¨ $ -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…

math.RT2024

Thick subcategories and silting subcategories in recollement

Yuxia Mei, Li Wang, Jiaqun Wei

Let $(A, B, C, i^{*}, i_{*}, i^{!}, j_{!}, j^{*}, j_{*})$ be a recollement of extriangulated categories. We show that there is a bijection between t…

The first Brauer-Thrall conjecture for extriangulated length categories

Extriangulated length categories: torsion classes and I¨-tilting theory

Thick subcategories and silting subcategories in recollement

Extriangulated length categories: torsion classes and $I ¨ $ -tilting theory