English

Simplicity of noncommutative Dedekind domains

Rings and Algebras 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0311077,
  title  = {Simplicity of noncommutative Dedekind domains},
  author = {K. R. Goodearl and J. T. Stafford},
  journal= {arXiv preprint arXiv:math/0311077},
  year   = {2007}
}
R2 v1 2026-07-22T16:59:22.787Z