Article ID Journal Published Year Pages File Type
4585974 Journal of Algebra 2011 8 Pages PDF
Abstract

We provide an example of a prime Noetherian ring whose Jacobson radical fails to satisfy the Artin–Rees (AR) property on either side. The ring constructed is a finite module over its Noetherian centre. This settles a longstanding question.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory