Year: 2005
Type: article
Abstract: 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.
Source: Glasgow Mathematical Journal
Author: A. W. CHATTERS
Institution: University of Bristol
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2143716425