Dedekind-Mertens lemma and content formulas in power series rings

DOI10.1016/j.jpaa.2017.09.013zbMath1388.13010OpenAlexW2755862907WikidataQ124802919 ScholiaQ124802919MaRDI QIDQ1743015

Phan Thanh Toan, Mi Hee Park, Byung Gyun Kang

Publication date: 12 April 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2017.09.013

zbMATH Keywords

power seriesPrüfer domaincompletely integrally closed domain.Dedekind-Mertens lemma

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Formal power series rings (13F25)

Related Items (4)

Amount algebras ⋮ Anti-Archimedean property and the formal power series rings ⋮ The power series Dedekind-Mertens number ⋮ Dedekind-Mertens lemma for power series in an arbitrary set of indeterminates

Cites Work

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• On the cardinality of star operations on a pseudo-valuation domain
• 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
• Some Applications of the Hilfssatz von Dedekind Mertens.
• On the Contents of Polynomials

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