Ω-krull rings. I

DOI10.1080/00927878208822804zbMath0508.16004OpenAlexW1979385645MaRDI QIDQ4745959

Lieven Le Bruyn, Eric Jespers, P. Wauters

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00927878208822804

zbMATH Keywords

prime idealscentral simple algebrasfractional idealsKrull orderspseudo-valuationsAsano orderssymmetric localizationarithmetical ideal theoryomega-Krull ringssymmetric orderAzumaya algebras over Krull domainsmaximal orders in simple Artinian ringsnon-commutative Krull ringsZariski central omega-rings

Mathematics Subject Classification ID

Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Divisibility, noncommutative UFDs (16U30) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (8)

A general notion of noncommutative Krull rings ⋮ Associative rings ⋮ Ω-krull rings and skew semigroup rings ⋮ Multiplicative Ideal Theory in Noncommutative Rings ⋮ ON Ω–KRMULL RINGS ⋮ A characterization of central \(\Omega\)-Krull rings ⋮ What is an \(\Omega\)-Krull ring? ⋮ Generalized Rees rings and relative maximal orders satisfying polynomial identities

Cites Work

• Unnamed Item
• Extension of ideals under symmetric localization
• Maximal orders over Krull domains
• A note on noncommutative krull domains
• Birational hereditary noetherian prime rings
• Zariski central rings

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