Content formulas for polynomials and power series and complete integral closure

DOI10.1006/jabr.1996.0110zbMath0857.13017OpenAlexW2077582725MaRDI QIDQ1913940

Byung Gyun Kang, Daniel D. Anderson

Publication date: 9 July 1996

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1996.0110

zbMATH Keywords

star-operationcontent of a polynomialcontent of power seriescontent relation

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Formal power series rings (13F25)

Related Items (20)

Power series over Noetherian domains, Nagata rings, and Kronecker function rings ⋮ Formally integrally closed domains and the rings \(R((X))\) and \(R\{\{X\}\}\) ⋮ Kronecker function rings and power series rings ⋮ \((t,v)\)-Dedekind domains and the ring \(R[X_{N_{v}}\)] ⋮ Characterizations of graded Prüfer \(\star \)-multiplication domains. II ⋮ Dedekind-Mertens lemma and content formulas in power series rings ⋮ The Dedekind-Mertens Lemma and the contents of polynomials ⋮ The content of a Gaussian polynomial is invertible ⋮ Armendariz rings and gaussian rings ⋮ Gaussian polynomials and invertibility ⋮ A Dedekind-Mertens theorem for power series rings ⋮ On annihilator ideals of a polynomial ring over a noncommutative ring ⋮ The power series Dedekind-Mertens number ⋮ The content of Gaussian polynomials ⋮ Dedekind-Mertens lemma for power series in an arbitrary set of indeterminates ⋮ Gaussian Polynomials and Content Ideal in Pullbacks ⋮ Trivial extensions defined by Prüfer conditions ⋮ A generalized Dedekind-Mertens lemma and its converse ⋮ The SFT property and the ring \(R((X))\) ⋮ The Dedekind-Mertens lemma and the contents of polynomials

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