4 papers
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…
Non-standard derived equivalences over arbitrary fields
Jinbi Zhang
In 1991 Rickard asked whether every derived equivalence between finite-dimensional algebras over a common field is standard. Hu, Xi and Zhang constructed non-standard derived equiv…
Extension dimensions under singular equivalences and recollements
Jinbi Zhang, Junling Zheng
The extension dimensions of an Artin algebra give a reasonable way of measuring how far an algebra is from being representation-finite. In this paper we mainly study extension dime…
Igusa-Todorov distances
Jinbi Zhang, Junling Zheng
A new homological dimension, called the Igusa-Todorov distance, is introduced to measure how far an Artin algebra is from being an Igusa-Todorov algebra. An upper bound for the dim…