3 citations · 6 across the 10 of their papers we have counts for
11 papers
Ideal balanced pairs in n-exangulated categories
Peiyu Zhang, Zhuolin Zheng, Li Wang +1
This paper is devoted to ideal approximation theory in -exangulated categories. We define ideal balanced pairs and explore their properties and equivalent characterizations. We…
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…
Semibricks, torsion-free classes and the Jordan-Hölder property
Li Wang, Jiaqun Wei, Haicheng Zhang +1
Let be an extriangulated category and be a semibrick in . Let be the filtration subcategory generated by . We in…
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…
Star modules with respect to balanced pair
Peiyu Zhang, Dajun Liu, Jiaqun Wei
n this article, firstly, we introduce the notion of star modules with respect to a balanced pair and obtain some properties. We mainly give the relationship between n-X star module…
Balanced pairs and tilting modules in recollement
Peiyu Zhang, Dajun Liu, Jiaqun Wei
In this paper, firstly, we mainly study the relationship of balanced pairs among three Abelian categories in a recollement. As an application of admissible balanced pairs, we intro…
Gorenstein projective objects and recollements of Abelian categories
Peiyu Zhang, Qianqian Shu, Dajun Liu
In this paper, we study the relationship of Gorenstein projective objects among three Abelian categories in a recollement. As an application, we introduce the relation of -Goren…
Relative AR-correspondence, co-t-structure and silting pair
Peiyu Zhang, Dajun Liu, Jiaqun Wei
As a generalization of tilting pair, which was introduced by Miyashita in \cite{YM}, the notion of silting pair is introduced in this paper. The authors extends a characterization…
Gorenstein syzygy objects in extriangulated categories
Peiyu Zhang, Ming Chen, Dajun Liu +1
We give the definition of Gorenstein syzygy objects in extriangulated categories and obtain a characterization. For a recollement of extriangulated categories, we mainly show that…
Quasi-cotilting modules and torsion-free classes
Peiyu Zhang, Jiaqun Wei
We prove that all quasi-cotilting modules are pure-injective and cofinendo. It follows that the class CogenM is always a covering class whenever M is a quasi-cotilting module. Some…
Cosilting complexes and AIR-cotilting modules
Peiyu Zhang, Jiaqun Wei
We introduce and study the new concepts of cosilting complexes, cosilting modules and AIR-cotilting modules. We prove that the three concepts AIR-cotilting modules, cosilting modul…