A generalized Dedekind-Mertens lemma and its converse

DOI10.1090/S0002-9947-98-02176-XzbMath0903.13001arXivmath/0210075WikidataQ124881014 ScholiaQ124881014MaRDI QIDQ4211873

Alberto Corso, William J. Heinzer, Craig Huneke

Publication date: 8 October 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210075

zbMATH Keywords

integral closure of an idealDedekind-Mertens lemmaDedekind-Mertens numbercontent ideal of a polynomial

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05) Polynomials over commutative rings (13B25) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (6)

Dedekind-Mertens lemma and content formulas in power series rings ⋮ The content of a Gaussian polynomial is invertible ⋮ The power series Dedekind-Mertens number ⋮ Dedekind-Mertens lemma for power series in an arbitrary set of indeterminates ⋮ Gaussian Polynomials and Content Ideal in Pullbacks ⋮ The Dedekind-Mertens lemma and the contents of polynomials

Cites Work

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• A note on asymptotically unmixed ideals
• Cyclic Purity Versus Purity in Excellent Noetherian Rings
• The Dedekind-Mertens formula and determinantal rings
• Gaussian polynomials and content ideals
• The Dedekind-Mertens Lemma and the contents of polynomials
• On the Contents of Polynomials
• A Note on Analytically Unramified Local Rings

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