On the primary decomposition of differential ideals of strongly Laskerian rings
type: Item
instance of: scholarly article
title: On the primary decomposition of differential ideals of strongly Laskerian rings
zbMATH Open document ID: 0839.16032
author: Mamoru Furuya
published in: Hiroshima Mathematical Journal
publication date: 1996-06-20T00:00:00Z
review text: A commutative ring \(R\) is said to be strongly Laskerian if every ideal of \(R\) has a primary decomposition and, in addition, each primary ideal contains a power of its radical. Let \(\underline H\) be a set of higher derivations on such a ring. The author considers \(\underline H\)-differential ideals on such a ring and proves the following theorem: let \(\underline H\) be a set of higher derivations and let \(I\) be an ideal of a strongly Laskerian ring that is \(\underline H\)-differential. Then \(I\) can be represented as an irredundant intersection of a finite number of \(\underline H\)-differential primary ideals of \(R\).
Mathematics Subject Classification ID: 16W25
Mathematics Subject Classification ID: 13N99
Mathematics Subject Classification ID: 16D25
zbMATH DE Number: 780117
zbMATH Keywords: differential ideals
zbMATH Keywords: primary decomposition
zbMATH Keywords: primary ideals
zbMATH Keywords: higher derivations
zbMATH Keywords: strongly Laskerian rings
zbMATH Keywords: irredundant intersections
reviewed by: T. H. Lenagan
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 780117