A Two-Dimensional Non-Noetherian Factorial Ring

DOI10.2307/2039220zbMath0284.13019OpenAlexW4250373610MaRDI QIDQ4771356

Robert Gilmer

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/2039220

Mathematics Subject Classification ID

Group rings (16S34) Commutative Noetherian rings and modules (13E05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15)

Related Items (15)

A Converse of the Hilbert Syzygy Theorem ⋮ Group rings and semigroup rings over strong Mori domains. II. ⋮ Semigroup rings ⋮ Essential domains and two conjectures in dimension theory ⋮ Examples of Jaffard domains ⋮ Irreducibility and Factorizations in Monoid Rings ⋮ Noetherian properties in monoid rings. ⋮ Power series rings over strong Mori domains. ⋮ Strong Mori and Noetherian properties of integer-valued polynomial rings. ⋮ The Laskerian property in commutative rings ⋮ Finite conductor rings ⋮ ES-w-stability ⋮ Prime ideals and localization in commutative group rings ⋮ \(\ast\)-Noetherian domains and the ring \(D[x_N\)] ⋮ Commutative rings with ACC on n-generated ideals

Cites Work

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• Divisibility properties in semigroup rings
• The Dimension Sequence of a Commutative Ring
• Des catégories abéliennes
• On the Dimension of Group Rings
• A Non-Noetherian Factorial Ring
• Dimension sequences for commutative rings
• Krull dimension
• On the Group Ring

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