3 papers
math.RT2026
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…
math.CT2026
Semi-orthogonal and derived decompositions for gentle algebras
Jiangsheng Hu, Yu-Zhe Liu, Tiwei Zhao
We study semi-orthogonal decompositions of perfect derived categories of gentle algebras via marked ribbon surfaces. We characterize such decompositions in terms of suitable disjoi…
math.RA2024
On the generalizations of global dimensions and singularity categories
Xiaolei Zhang, Tiwei Zhao, Dingguo Wang
For each , we introduce the notion of -singularity category of a given ring , which can be seen as a generalization…