58 citations · 319 across the 55 of their papers we have counts for
18 papers · 1 filter
Non-affine Hopf algebra domains of Gelfand-Kirillov dimension two
K. R. Goodearl, J. J. Zhang
We classify all non-affine Hopf algebras over an algebraically closed field of characteristic zero that are integral domains of Gelfand-Kirillov dimension two and satisfy t…
The realization problem for some wild monoids and the Atiyah problem
P. Ara, K. R. Goodearl
The Realization Problem for (von Neumann) regular rings asks what are the conical refinement monoids which can be obtained as the monoids of isomorphism classes of finitely generat…
The isomorphism problem for multiparameter quantized Weyl algebras
K. R. Goodearl, J. T. Hartwig
In this note we solve the isomorphism problem for the multiparameter quantized Weyl algebras, in the case when none of the deformation parameters q_i is a root of unity, over an ar…
Tame and wild refinement monoids
P. Ara, K. R. Goodearl
The class of refinement monoids (abelian monoids satisfying the Riesz refinement property) is subdivided into those which are tame, defined as being an inductive limit of finitely…
Noetherian Hopf algebras
K. R. Goodearl
A brief survey of some aspects of noetherian Hopf algebras is given, concentrating on structure, homology, and classification, and accompanied by a panoply of open problems.
LU decomposition of totally nonnegative matrices
K R Goodearl, T H Lenagan
A uniqueness theorem for an LU decomposition of a totally nonnegative matrix is obtained.