Dedekind-Mertens lemma for power series in an arbitrary set of indeterminates

DOI10.1007/s10013-020-00466-4zbMath1476.13010OpenAlexW3119106883WikidataQ125023122 ScholiaQ125023122MaRDI QIDQ2054672

Le Thi Ngoc Giau, Thieu N. Vo, Phan Thanh Toan

Publication date: 3 December 2021

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-020-00466-4

zbMATH Keywords

power series ringcontent idealDedekind-Mertens lemma

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Formal power series rings (13F25)

Cites Work

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• Dedekind-Mertens lemma and content formulas in power series rings
• Content formulas for polynomials and power series and complete integral closure
• On the unique factorization theorem for formal power series
• A Dedekind-Mertens theorem for power series rings
• A generalized Dedekind-Mertens lemma and its converse
• The Dedekind-Mertens formula and determinantal rings
• The Dedekind-Mertens Lemma and the contents of polynomials
• The power series Dedekind-Mertens number
• Some Applications of the Hilfssatz von Dedekind Mertens.
• On the Contents of Polynomials

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