A Dedekind-Mertens theorem for power series rings

DOI10.1090/proc/12661zbMath1332.13018arXiv1402.1100OpenAlexW1579938802MaRDI QIDQ2790166

Jay Shapiro, Neil Epstein

Publication date: 3 March 2016

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

Full work available at URL: https://arxiv.org/abs/1402.1100

zbMATH Keywords

Dedekind-Mertens lemmacontent of a power series

Mathematics Subject Classification ID

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

Related Items (14)

Gaussian elements of a semicontent algebra ⋮ Unnamed Item ⋮ Amount algebras ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The Ohm-Rush content function III: Completion, globalization, and power-content algebras ⋮ The Ohm–Rush content function II. Noetherian rings, valuation domains, and base change ⋮ Dedekind-Mertens lemma and content formulas in power series rings ⋮ Auslander modules ⋮ On the content of polynomials over semirings and its applications ⋮ On zero-divisors of semimodules and semialgebras ⋮ The power series Dedekind-Mertens number ⋮ Dedekind-Mertens lemma for power series in an arbitrary set of indeterminates ⋮ The McCoy property in Ohm-Rush algebras

Cites Work

• Generic Gaussian ideals
• Content formulas for polynomials and power series and complete integral closure
• Content Algebras
• The Dedekind-Mertens Lemma and the contents of polynomials
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• Unnamed Item

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