On some Subsemigroups of noncommutative krull rings

DOI10.1080/00927878408823078zbMath0545.16008OpenAlexW2090491665MaRDI QIDQ3335914

P. Wauters

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00927878408823078

zbMATH Keywords

regular elementsmaximal orderprime ringmultiplicative semigroupsKrull orderprime Goldie ringnormalizing elementsascending chain condition for divisorial idealsnormalizing Krull orders

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Semigroup rings, multiplicative semigroups of rings (20M25) Divisibility, noncommutative UFDs (16U30) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

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Cites Work

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• Anneaux de Krull non commutatifs
• A characterization of central \(\Omega\)-Krull rings
• Krull Semigroups and Divisor Class Groups
• Rings and modules of quotients