Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-24T04:48:05.994Z Has data issue: false hasContentIssue false

ARTINIAN RINGS AND THE H-CONDITION

Published online by Cambridge University Press:  24 July 2006

P. F. SMITH
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow, G12 8QW, United [email protected], [email protected]
A. R. WOODWARD
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow, G12 8QW, United [email protected], [email protected]
Get access

Abstract

It is proved that a ring $R$ is right Artinian if and only if, for each countably generated right $R$-module $M$, there exists a finite subset $F$ of $M$ such that the annihilator of $M$ in $R$ equals the annihilator of $F$ in $R$.

Keywords

Type
Papers
Copyright
The London Mathematical Society 2006

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.)