Formally integrally closed domains and the rings \(R((X))\) and \(R\{\{X\}\}\)
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Publication:1383960
DOI10.1006/jabr.1997.7262zbMath0905.13007OpenAlexW1991230713MaRDI QIDQ1383960
Daniel D. Anderson, Byung Gyun Kang
Publication date: 25 May 1998
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1997.7262
Integral closure of commutative rings and ideals (13B22) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Formal power series rings (13F25) Euclidean rings and generalizations (13F07)
Related Items (8)
A Schreier Domain Type Condition II ⋮ Power series over Noetherian domains, Nagata rings, and Kronecker function rings ⋮ Kronecker function rings and power series rings ⋮ \((t,v)\)-Dedekind domains and the ring \(R[X_{N_{v}}\)] ⋮ Anti-Archimedean property and the formal power series rings ⋮ When \(D((X))\) and \(D\{\{X\}\}\) are Prüfer domains ⋮ THE RINGS $D((\mathcal{X}))_i$ AND $D\{\{\mathcal{X}\}\}_i$ ⋮ The SFT property and the ring \(R((X))\)
Cites Work
- On the converse of a well-known fact about Krull domains
- The rings R(X) and \(R<X>\)
- Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
- Idéaux divisoriels d'un anneau de polynômes
- On Pruefer v-multiplication domains
- Content formulas for polynomials and power series and complete integral closure
- Stable range in commutative rings
- Power series rings over Prüfer domains
- A Localization of R[x]
- Multiplication Ideals, Multiplication Rings, and the Ring R(X)
- On t- Spec(R[[X])]
- Some Results on v-Multiplication Rings
- On the Ideal Theory of the Kronecker Function Ring and the Domain D(X)
- When $(D \lbrack\lbrack X \rbrack\rbrack)_{P \lbrack\lbrack X \rbrack\rbrack$ is a Valuation Ring
- A remark on Kronecker’s theorem on forms
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