4 citations · 6 across the 9 of their papers we have counts for
12 papers · 1 filter
Silting subcategories and (co)torsion pairs associated to extended hearts
Liangwei Huang, Haicheng Zhang
We establish the poset isomorphisms between -term silting subcategories, functorially finite -torsion pairs in the -extended heart, and hereditary complete cotorsion p…
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…
Hall algebras of extriangulated categories
Li Wang, Jiaqun Wei, Haicheng Zhang
Recently, Nakaoka and Palu introduced a notion of extriangulated categories. This is a unification of exact categories and triangulated categories. In this paper, we generalize the…
Recollements of extriangulated categories
Li Wang, Jiaqun Wei, Haicheng Zhang
We give a simultaneous generalization of recollements of abelian categories and triangulated categories, which we call recollements of extriangulated categories. For a recollement…
Semibricks in extriangulated categories
Li Wang, Jiaqun Wei, Haicheng Zhang
Let be a semibrick in an extriangulated category . Let be the filtration subcategory generated by . We give a one-to-one corre…
Acyclic quantum cluster algebras via Hall algebras of morphisms
Ming Ding, Fan Xu, Haicheng Zhang
Let be the path algebra of a finite acyclic quiver over a finite field. We realize the quantum cluster algebra with principal coefficients associated to as a sub-quotie…