5 papers
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…