2 citations · 2 across the 5 of their papers we have counts for
6 papers
Higher orthogonality and truncation in canonical pretriangulated quotients
Yixia Zhang, Panyue Zhou
Canonical ideal quotients of extriangulated categories admit natural one-sided triangulated or pretriangulated structures. A fundamental question is whether these quotient structur…
Ideal -cotorsion pairs in Frobenius extriangulated categories
Yixia Zhang, Panyue Zhou
Motivated by the correspondence between ideal cotorsion pairs in Frobenius exact categories and those in their stable categories, we introduce the notion of an ideal -cotorsion…
Triangulated categories arising from n-fold matrix factorizations
Yixia Zhang, Panyue Zhou
Let be an additive category and let be an additive functor equipped with a natural transformation $ω\colon \mathrm{Id}_{\…
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…
On endomorphism algebras of string almost gentle algebras
Yu-Zhe Liu, Panyue Zhou
For any arbitrary string almost gentle algebra, we consider specific subsets of its quiver's arrow set, denoted by . For each such , we introduce the fini…
Normed modules and the categorification of integrations, series expansions, and differentiations
Yu-Zhe Liu, Shengda Liu, Zhaoyong Huang +1
We explore the assignment of norms to -modules over a finite-dimensional algebra , resulting in the establishment of normed -modules. Our primary cont…