3 citations · 6 across the 10 of their papers we have counts for
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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…
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…