A general notion of noncommutative Krull rings

DOI10.1016/0021-8693(88)90098-1zbMath0636.16003OpenAlexW1989320817MaRDI QIDQ1097939

P. Wauters, Eric Jespers

Publication date: 1988

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90098-1

zbMATH Keywords

Krull ringMartindale ring of quotientsAsano orderssymmetric maximal quotient ring

Mathematics Subject Classification ID

Divisibility, noncommutative UFDs (16U30) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Localization and associative Noetherian rings (16P50)

Related Items (10)

Jacobson rings and rings strongly graded by an Abelian group ⋮ Non-commutative Krull monoids: a divisor theoretic approach and their arithmetic. ⋮ Computing the extended centroid of abelian—group graded rings ⋮ Quotient rings of graded associative rings. I. ⋮ Prime ideals of graded rings and related matters ⋮ Graded quotient rings ⋮ Graded Rings and Krull Orders ⋮ Semigroup algebras and direct sums of domains ⋮ Height-one prime ideals in semigroup algebras satisfying a polynomial identity ⋮ Krull orders in nilpotent groups: corrigendum and addendum.

Cites Work

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• Anneaux de Krull non commutatifs
• Multiplicative ideal theory of noncommutative Krull pairs. I: Module systems, Krull ring-type chain conditions, and application to two-sided ideals
• Krull rings
• Maximal orders over Krull domains
• Krull Semigroups and Divisor Class Groups
• Graded krull domains
• Ω-krull rings. I
• Asano-orders and graded rings

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