Embedded primes and the associated graded ring
type: Item
instance of: scholarly article
title: Embedded primes and the associated graded ring
zbMATH Open document ID: 0881.13002
DOI: 10.1007/BF01194167
author: Wolfgang M. Ruppert
published in: Archiv der Mathematik
publication date: 1996-11-24T00:00:00Z
review text: Let \(A\) be a local noetherian ring with maximal ideal \(m\) and \(\text{gr}(A)= \bigoplus_{i\geq 0}m^i/m^{i+1}\) the associated graded ring. In this paper, the author shows the following: If \(\text{Spec} (A)\) has embedded components then \(\text{Spec(gr} (A))\) has embedded components, too.
Mathematics Subject Classification ID: 13A30
Mathematics Subject Classification ID: 13A15
zbMATH DE Number: 937043
zbMATH Keywords: embedded prime
zbMATH Keywords: associated graded ring
zbMATH Keywords: embedded components
reviewed by: Jun Nishimura
MaRDI profile type: Publication
cites work: Q3328651
full work available at URL: https://doi.org/10.1007/bf01194167
OpenAlex ID: W2014243122
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description: scientific article; zbMATH DE number 937043