3 papers
math.RT2026
Rickard's question on standard derived equivalences
Wei Hu, Changchang Xi, Jin Zhang
In 1991 Rickard asked whether every derived equivalence of algebras over a common field is standard. We construct a series of examples of non-standard derived equivalences, and thu…
math.RT2021
Complexes with the double centraliser property
Jin Zhang
In representation theory, the double centraliser property is an important property for a module (bimodule). It plays a fundamental role in many theories. In this paper, we extend t…
math.RA2018
Free operated monoids and Rewriting systems
Xing Gao, Jin Zhang
The construction of bases for quotients is an important problem. In this paper, applying the method of rewriting systems, we give a unified approach to construct sections---an alte…