A generalized dedekind-mertens lemma and its converse

Alberto Corso; William Heinzer; Craig Huneke

A generalized dedekind-mertens lemma and its converse

Alberto Corso, William Heinzer, Craig Huneke

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We study content ideals of polynomials and their behavior under multiplication. We give a generalization of the Lemma of Dedekind-Mertens and prove the converse under suitable dimensionality restrictions.

Original language	English
Pages (from-to)	5095-5109
Number of pages	15
Journal	Transactions of the American Mathematical Society
Volume	350
Issue number	12
State	Published - 1998

Keywords

Content ideal of a polynomial
Dedekind-mertens number
Dedekindmertens lemma
Integral closure of an ideal

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Cite this

@article{cc0ebf6e9116449b857b40ba82c453cf,

title = "A generalized dedekind-mertens lemma and its converse",

abstract = "We study content ideals of polynomials and their behavior under multiplication. We give a generalization of the Lemma of Dedekind-Mertens and prove the converse under suitable dimensionality restrictions.",

keywords = "Content ideal of a polynomial, Dedekind-mertens number, Dedekindmertens lemma, Integral closure of an ideal",

author = "Alberto Corso and William Heinzer and Craig Huneke",

year = "1998",

language = "English",

volume = "350",

pages = "5095--5109",

number = "12",

}

TY - JOUR

T1 - A generalized dedekind-mertens lemma and its converse

AU - Corso, Alberto

AU - Heinzer, William

AU - Huneke, Craig

PY - 1998

Y1 - 1998

N2 - We study content ideals of polynomials and their behavior under multiplication. We give a generalization of the Lemma of Dedekind-Mertens and prove the converse under suitable dimensionality restrictions.

AB - We study content ideals of polynomials and their behavior under multiplication. We give a generalization of the Lemma of Dedekind-Mertens and prove the converse under suitable dimensionality restrictions.

KW - Content ideal of a polynomial

KW - Dedekind-mertens number

KW - Dedekindmertens lemma

KW - Integral closure of an ideal

UR - http://www.scopus.com/inward/record.url?scp=22444454834&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=22444454834&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:22444454834

SN - 0002-9947

VL - 350

SP - 5095

EP - 5109

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 12

ER -

A generalized dedekind-mertens lemma and its converse

Abstract

Keywords

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this