44 citations · 134 across the 25 of their papers we have counts for
28 papers
The prime spectrum of the Drinfeld double of the Jordan plane
K. A. Brown, J. T. Stafford
The Hopf algebra which is the subject of this paper can be viewed as a Drinfeld double of the bosonisation of the Jordan plane. Its prime and primitive spectra are co…
Critical and injective modules over skew polynomial rings
Ken Brown, Paula A. A. B. Carvalho, Jerzy Matczuk
Let be a commutative local -algebra of Krull dimension one, where is a field. Let be a -algebra automorphism of , and define to be the skew polynomial alge…
On noncommutative bounded factorization domains and prime rings
Jason P. Bell, Ken Brown, Zahra Nazemian +1
A ring has bounded factorizations if every cancellative nonunit can be written as a product of atoms and there is a bound on the lengths of such factorizations. Th…
Iterated Hopf Ore extensions in positive characteristic
Ken A. Brown, James J. Zhang
Iterated Hopf Ore extensions (IHOEs) over an algebraically closed base field k of positive characteristic p are studied. We show that every IHOE over k satisfies a polynomial ident…
Survey on Hopf algebras of GK-dimension 1 and 2
Ken Brown, James J. Zhang
This is a brief survey on the current state of play on the programs to classify infinite dimensional Hopf algebras of Gel'fand-Kirillov dimension one or two. We list a number of op…
Affine commutative-by-finite Hopf algebras
Kenneth Brown, Miguel Couto
The objects of study in this paper are Hopf algebras which are finitely generated algebras over an algebraically closed field and are extensions of a commutative Hopf algebra b…