Generating ideals in polynomial rings
type: Item
instance of: scholarly article
title: Generating ideals in polynomial rings
zbMATH Open document ID: 0632.13007
DOI: 10.1007/BF01161759
author: Amit Roy
author: Satyagopal Mandal
published in: Mathematische Zeitschrift
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/183695
review text: Let \(R=A[X]\) be a polynomial ring over a Noetherian commutative ring A, and let I be an ideal in R that contains a monic polynomial. Then I is generated by \(\mu (I/I^ 2)\) elements, where \(\mu\) denotes the minimal number of generators. The authors investigate the question of whether \(\mu (I)=\mu (I/I^ 2)\).
Mathematics Subject Classification ID: 13F20
Mathematics Subject Classification ID: 13A15
Mathematics Subject Classification ID: 13E15
zbMATH DE Number: 4027632
zbMATH Keywords: polynomial ideal
zbMATH Keywords: minimal number of generators
reviewed by: Anne Grams
MaRDI profile type: Publication
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OpenAlex ID: W1996882308
description: scientific article; zbMATH DE number 4027632