Graded integral domains and Nagata rings, II

DOI10.11568/kjm.2017.25.2.215zbMath1474.13006OpenAlexW2733166475MaRDI QIDQ5208534

Gyu Whan Chang

Publication date: 8 January 2020

Full work available at URL: http://journal.kkms.org/index.php/kjm/article/download/510/365

zbMATH Keywords

Nagata ringKronecker function ringgraded integral domain\(D+XK[X\)]

Mathematics Subject Classification ID

Polynomials over commutative rings (13B25) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (5)

Unnamed Item ⋮ Graded integral domains which are UMT-domains ⋮ UMT-domains: A Survey ⋮ Graded integral domains in which each nonzero homogeneous t-ideal is divisorial ⋮ Graded Prüfer domains

Cites Work

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• Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
• Divisorial ideals and invertible ideals in a graded integral domain
• Prüfer domains and graded rings
• The construction \(D+XD_s[X\)]
• Graded integral domains and Nagata rings
• Prüfer *-multiplication domains, Nagata rings, and Kronecker function rings
• Homogeneous splitting sets of a graded integral domain
• Krull Semigroups and Divisor Class Groups
• CHARACTERIZATIONS OF GRADED PRÜFER ⋆-MULTIPLICATION DOMAINS
• On the Ideal Theory of the Kronecker Function Ring and the Domain D(X)

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