Seminormal rings generated by algebraic integers

DOI10.1112/S0025579300013395zbMath0619.13002MaRDI QIDQ3755552

David E. Dobbs, Marco Fontana

Publication date: 1987

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

seminormalizationseminormal non GPVD quadratic order

Mathematics Subject Classification ID

Quadratic extensions (11R11) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Quaternion and other division algebras: arithmetic, zeta functions (11R52) General commutative ring theory (13A99)

Related Items (7)

The set of distances in seminormal weakly Krull monoids ⋮ Gorenstein conducive domains ⋮ On Monoids of Ideals of Orders in Quadratic Number Fields ⋮ On the arithmetic of stable domains ⋮ Anodality ⋮ A characterization of seminormal C-monoids ⋮ Arithmetic of seminormal weakly Krull monoids and domains

Cites Work

• Unnamed Item
• Locally pseudo-valuation domains
• Universally going-down homomorphisms of commutative rings
• On the root and integral closure of Noetherian domains of dimension one
• On \(\text{Pic}(R[X)\) for \(R\) seminormal]
• Polynomials determining Dedekind domains
• Universally Incomparable Ring-Homomorphisms

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