Simplicity of noncommutative dedekind domains

K. R. Goodearl; J. T. Stafford

doi:10.1090/S0002-9939-04-07574-4

Simplicity of noncommutative dedekind domains

K. R. Goodearl, J. T. Stafford

Research output: Contribution to journal › Article › peer-review

Abstract

The following dichotomy is established: A finitely generated, complex Dedekind domain that is not commutative is a simple ring. Weaker versions of this dichotomy are proved for Dedekind prime rings and hereditary noetherian prime rings. © 2004 American Mathematical Society.

Original language	English
Pages (from-to)	681-686
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	133
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-04-07574-4
Publication status	Published - Mar 2005

Keywords

Dedekind domain
HNP ring
Invertible ideal
Simple ring

Access to Document

10.1090/S0002-9939-04-07574-4

Cite this

@article{40bbc245fa304232aa3eb6e1ddf38dea,

title = "Simplicity of noncommutative dedekind domains",

abstract = "The following dichotomy is established: A finitely generated, complex Dedekind domain that is not commutative is a simple ring. Weaker versions of this dichotomy are proved for Dedekind prime rings and hereditary noetherian prime rings. {\textcopyright} 2004 American Mathematical Society.",

keywords = "Dedekind domain, HNP ring, Invertible ideal, Simple ring",

author = "Goodearl, {K. R.} and Stafford, {J. T.}",

year = "2005",

month = mar,

doi = "10.1090/S0002-9939-04-07574-4",

language = "English",

volume = "133",

pages = "681--686",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "3",

}

TY - JOUR

T1 - Simplicity of noncommutative dedekind domains

AU - Goodearl, K. R.

AU - Stafford, J. T.

PY - 2005/3

Y1 - 2005/3

N2 - The following dichotomy is established: A finitely generated, complex Dedekind domain that is not commutative is a simple ring. Weaker versions of this dichotomy are proved for Dedekind prime rings and hereditary noetherian prime rings. © 2004 American Mathematical Society.

AB - The following dichotomy is established: A finitely generated, complex Dedekind domain that is not commutative is a simple ring. Weaker versions of this dichotomy are proved for Dedekind prime rings and hereditary noetherian prime rings. © 2004 American Mathematical Society.

KW - Dedekind domain

KW - HNP ring

KW - Invertible ideal

KW - Simple ring

U2 - 10.1090/S0002-9939-04-07574-4

DO - 10.1090/S0002-9939-04-07574-4

M3 - Article

SN - 0002-9939

VL - 133

SP - 681

EP - 686

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 3

ER -

Simplicity of noncommutative dedekind domains

Abstract

Keywords

Access to Document

Fingerprint

Cite this