When \(D((X))\) and \(D\{\{X\}\}\) are Prüfer domains

DOI10.1016/j.jpaa.2011.06.009zbMath1236.13002OpenAlexW160651215WikidataQ112881996 ScholiaQ112881996MaRDI QIDQ659863

Dong Yeol Oh, Gyu Whan Chang

Publication date: 24 January 2012

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.2011.06.009

Mathematics Subject Classification ID

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

Related Items (7)

Power series over Noetherian domains, Nagata rings, and Kronecker function rings ⋮ On power series rings over valuation domains ⋮ On the generalized Krull property in power series rings ⋮ Kronecker function rings and power series rings ⋮ Generalization of Artinian rings and the formal power series rings ⋮ THE RINGS $D((\mathcal{X}))_i$ AND $D\{\{\mathcal{X}\}\}_i$ ⋮ Unnamed Item

Cites Work

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• Constructing chains of primes in power series rings
• On the converse of a well-known fact about Krull domains
• Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
• Formally integrally closed domains and the rings \(R((X))\) and \(R\{\{X\}\}\)
• The Krull dimension of power series rings over almost Dedekind domains
• Integral domains in which each non‐zero ideal is divisorial

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