11 citations · 35 across the 12 of their papers we have counts for
12 papers
Noncommutative Auslander theorem
Y. -H. Bao, J. -W. He, J. J. Zhang
A version of Auslander theorem is proven for the following classes of noncommutative algebras: (a) noetherian PI local (or connected graded) algebras of finite injective dimension,…
Pertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras
Y. -H. Bao, J. -W. He, J. J. Zhang
We study invariants and quotient categories of fixed subrings of Artin-Schelter regular algebras under Hopf algebra actions.
Primitive Cohomology of Hopf algebras
D. -G. Wang, J. J. Zhang, G. Zhuang
Primitive cohomology of a Hopf algebra is defined by using a modification of the cobar construction of the underlying coalgebra. Among many of its applications, two classifications…
Invariant Theory of Finite Group Actions on Down-Up Algebras
E. Kirkman, J. Kuzmanovich, J. J. Zhang
We study Artin-Schelter Gorenstein fixed subrings of some Artin-Schelter regular algebras of dimension 2 and 3 under finite group actions, and prove a noncommutative version of the…
Lower bounds of Growth of Hopf algebras
D. -G. Wang, J. J. Zhang, G. Zhuang
Some lower bounds of GK-dimension of Hopf algebras are given.
Noetherian Hopf algebra domains of Gelfand-Kirillov dimension two
K. R. Goodearl, J. J. Zhang
We classify all noetherian Hopf algebras over an algebraically closed field of characteristic zero which are integral domains of Gelfand-Kirillov dimension two and satisfy…