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Tilting realizations of derived-equivalent matrix centralizer algebras
Jiangsheng Hu, Xin Ma, Jinbi Zhang +1
Let be the centralizer algebra of a matrix over an arbitrary field. We solve the fixed-source realization problem for matrix centralizers by proving that the matrix centralizer…
Balanced pairs, virtually Gorenstein rings, and cotorsion torsion triples
Sergio Estrada, Jiangsheng Hu, Jan Trlifaj
For any ring , we investigate balanced pairs of classes of modules and their relations to cotorsion triples. We characterize the case when a balanced pair generates a tilting co…
Model structure arising from one hereditary complete cotorsion pair on extriangulated categories
Jiangsheng Hu, Dongdong Zhang, Pu Zhang +1
Hovey's correspondence between model structures and cotorsion pairs in the setting of abelian categories, has been generalized by Nakaoka-Palu, using two cotorsion pairs, to the se…
2-recollements of singualrity categories and Gorenstein defect categories over triangular matrix algebras
Huanhuan Li, Dandan Yang, Yuefei Zheng +1
Let be a triangular matrix algebra with its corner algebras and Artinian and an --bimodule. The 2-recollement structures for singularity categor…
Two new classes of n-exangulated categories
Jiangsheng Hu, Dongdong Zhang, Panyue Zhou
Herschend-Liu-Nakaoka introduced the notion of -exangulated categories. It is not only a higher dimensional analogue of extriangulated categories defined by Nakaoka-Palu, but al…
Proper classes and Gorensteinness in extriangulated categories
Jiangsheng Hu, Dongdong Zhang, Panyue Zhou
Extriangulated categories were introduced by Nakaoka and Palu as a simultaneous generalization of exact categories and triangulated categories. A notion of proper class in an extri…