6 papers
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…
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…
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…
Thick subcategories and silting subcategories in recollement
Yuxia Mei, Li Wang, Jiaqun Wei
Let be a recollement of extriangulated categories. We show that there is a bijection between t…
Quotients of extriangulated categories induced by selforthogonal subcategories
Peiyu Zhang, Yiwen Shi, Dajun Liu +2
Let C be an extriangulated category. We prove that two quotient categories of extriangu?lated categories induced by selforthogonal subcategories are equivalent to module categories…
Silting objects and torsion pairs in comma categories
Peiyu Zhang, Xinyu Wang, Dajun Liu +2
In this paper, we first give a characterization of silting objects in the comma category Assume that C1 and C2 are two subcategories of left R-modules, D1 and D2 be two subcategori…