Prime Factorization of ideals in commutative rings, with a focus on Krull rings

DOI10.4134/JKMS.J220271zbMath1515.13004arXiv2204.12098OpenAlexW4324109536MaRDI QIDQ6040193

Gyu Whan Chang, Jun-Seok Oh

Publication date: 24 May 2023

Full work available at URL: https://arxiv.org/abs/2204.12098

zbMATH Keywords

Krull domainNagata ringSPR\(u\)-operationgeneral Krull ring

Mathematics Subject Classification ID

Polynomials over commutative rings (13B25) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (3)

Regular \(t\)-ideals of polynomial rings and semigroup rings with zero divisors ⋮ Ideal factoriality, semistar operations, and quasiprincipal Ideals ⋮ When do the rings \(R[X\) and \(RX\) become generalized Krull rings]

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