THE RINGS $D((\mathcal{X}))_i$ AND $D\{\{\mathcal{X}\}\}_i$

DOI10.1142/S0219498812501472zbMath1282.13005MaRDI QIDQ4909151

Dong Yeol Oh, Gyu Whan Chang

Publication date: 12 March 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Dedekind domainPrüfer domainKrull domainpower series ringNoetherian domain

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (2)

Power series over Noetherian domains, Nagata rings, and Kronecker function rings ⋮ Valuation overrings of a Noetherian domain

Cites Work

• Unnamed Item
• When \(D((X))\) and \(D\{\{X\}\}\) are Prüfer domains
• On the converse of a well-known fact about Krull domains
• Formal power series rings over a \(\pi \)-domain
• The rings R(X) and \(R<X>\)
• Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
• Formally integrally closed domains and the rings \(R((X))\) and \(R\{\{X\}\}\)
• Prüfer *-multiplication domains, Nagata rings, and Kronecker function rings
• Rings of formal power series over a Krull domain
• Power series rings over a Krull domain
• Characterizations of ^*-Multiplication Domains
• 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)

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