Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-05T15:27:26.469Z Has data issue: false hasContentIssue false

LEFT COTORSION RINGS

Published online by Cambridge University Press:  28 April 2004

PEDRO A. GUIL ASENSIO
Affiliation:
Departamento de Matemáticas, Universidad de Murcia, 30100 Espinardo, Murcia, [email protected]
IVO HERZOG
Affiliation:
The Ohio State University at Lima, Lima, OH 45804, [email protected]
Get access

Abstract

It is proved that if $R$ is an associative ring that is cotorsion as a left module over itself, and $J$ is the Jacobson radical of $R$, then the quotient ring $R/J$ is a left self-injective von Neumann regular ring and idempotents lift modulo $J$. In particular, if $R$ is indecomposable, then it is a local ring.

Keywords

Type
Papers
Copyright
© The London Mathematical Society 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)