Simplicity of noncommutative Dedekind domains
K. R. Goodearl, J. T. Stafford
Abstract
The following dichotomy is established: A finitely generated, complex Dedekind domain that is not commutative is simple. Weaker versions of this dichotomy are proved for Dedekind prime rings and hereditary noetherian prime rings.
Create a lesson
Related papers
On Jordan nilpotency of index n in group rings
Osnel B. Cristo, Mariana G. Cornelissen, Rodrigo L. Rodrigues
High-Degree Restricted Cohomology for K(3;1)(1) in Characteristics Five and Seven
Chao Ma
Identities of Representation of Lie subalgebras of the first Weyl algebra
Vyacheslav Futorny, Plamen Koshlukov, João Fernando Schwarz
Homology and Topology of Partially Ordered Fields
Hanzhen Bao
Hopf algebra polynomial identities in the Sweedler algebra
Alexey Gordienko, Maria Morozova
Resolvent comparison for Hermitian block matrices and Kelmans transformations
Xianhao Meng, Zhijun Xu, Zhiyuan Zhang