Weakly factorial property of a generalized Rees ring \(D[X,d/X]\)

DOI10.1216/RMJ-2018-48-7-2175zbMath1404.13006OpenAlexW2904781669MaRDI QIDQ1755468

Gyu Whan Chang

Publication date: 10 January 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1544756806

zbMATH Keywords

GCD-domaingeneralized Rees ring \(D[X,d/x\)]weakly factorial domain

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15)

Cites Work

• Almost Bézout domains
• Splitting the t-class group
• \(t\)-linked extensions, the \(t\)-class group, and Nagata's theorem
• Homogeneous splitting sets of a graded integral domain
• On t-invertibility II
• Weakly Factorial Domains and Groups of Divisibility
• Semigroup Rings as Weakly Factorial Domains
• Torsion-Free Abelian Semigroup Rings IV
• FACTORIZATION AND DIVISIBILITY IN GENERALIZED REES RINGS
• Some Results on v-Multiplication Rings
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