ON Ω–KRMULL RINGS

DOI10.1080/16073606.1986.9632120zbMath0617.16001OpenAlexW2034532969MaRDI QIDQ4726405

Eric Jespers

Publication date: 1986

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1986.9632120

zbMATH Keywords

surveyprime idealssemigroup ringsKrull semigroupsmaximal ideal spectrummaximal ordersymmetric ordersnoncommutative Krull ringssymmetric localizationarithmetical ideal theory\(\Omega \)-Krull rings

Mathematics Subject Classification ID

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

Related Items (2)

Non-commutative Krull monoids: a divisor theoretic approach and their arithmetic. ⋮ Sets of lengths in maximal orders in central simple algebras.

Cites Work

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• What is an \(\Omega\)-Krull ring?
• The Jespers-Van Oystaeyen conjecture
• \(\Omega\)-Krull rings and Gr-\(\Omega\)-Krull rings in the non-P.I. case
• Generalized Rees rings and relative maximal orders satisfying polynomial identities
• Polynomial rings over Krull orders in simple Artinian rings
• Anneaux de Krull non commutatifs
• Prime spectra in non-commutative algebra
• A note on maximal orders over Krull domains
• A characterization of central \(\Omega\)-Krull rings
• Group rings of polycyclic groups
• Orders in Artinian rings. II
• Maximal orders over Krull domains
• Non-commutative Dedekind rings
• Anneaux locaux henséliens
• Hereditary Noetherian prime rings
• Localisation in Asano orders
• Semi-Prime Rings with Maximum Condition
• On Central Ω-Krull Rings and their Class Groups
• Ω-krull rings and skew semigroup rings
• On the Centre of Hereditary P.I. Rings
• Examples Of noncommutative krull rings
• Height One Primes of Polycyclic Group Rings
• A note on noncommutative krull domains
• Birational hereditary noetherian prime rings
• Krull Semigroups and Divisor Class Groups
• Ω-krull rings. I
• Hereditary Prime P.I. Rings are Classical Hereditary Orders†
• The Centres of 2-Firs and Hereditary Rings
• Rings and modules of quotients

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