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SEMI-PRIME NOETHERIAN RINGS OF INJECTIVE DIMENSION ONE

Published online by Cambridge University Press:  27 July 2005

A. W. CHATTERS
A. W. CHATTERS
Affiliation:
School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, UK e-mail: arthur.chatters@bristol.ac.uk
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Abstract

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Let $R$ be a semi-prime Noetherian ring of injective dimension 1. Let $P$ be a minimal prime ideal of $R$. In this paper it is shown that $R/P$ need not have injective dimension 1. Necessary and sufficient conditions are given for $R/P$ to have injective dimension 1.

Keywords

16P40
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 47 , Issue 2 , May 2005 , pp. 335 - 338
Copyright
2005 Glasgow Mathematical Journal Trust