Idealizers in generalized krull orders

DOI10.1080/00927878308822910zbMath0516.16002OpenAlexW2049991496MaRDI QIDQ3663462

Hisaaki Fujita

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/00927878308822910

zbMATH Keywords

idealizersprime Goldie ringshereditary Noetherian prime ringsgeneralized Krull ordersv-HC ordersquasi-invertible idealsendomorphism rings of reflexive modulessemimaximal right ideal

Mathematics Subject Classification ID

Divisibility, noncommutative UFDs (16U30) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (6)

On bounded v-hc orders in a simple artinian ring ⋮ Non commutative unique factorization rings ⋮ A skew polynomial ring over a v-hc order with enough V-inveriible ideals ⋮ Localisations of non prime e-vh-orders ⋮ Divtsorially graded rings by polycyclic-by-finite groups ⋮ A characterization of a non-frime v-hc order

Cites Work

• Unnamed Item
• Polynomial rings over Krull orders in simple Artinian rings
• Anneaux de Krull non commutatifs
• Localization at semiprime ideals
• Hereditary Noetherian prime rings
• Idealizers and hereditary Noetherian prime rings
• Localization and splitting in hereditary noetherian prime rings
• A krull type generalization of knp rings with enough Invertible ideals
• Artinian Quotient Rings^†
• A Note on Dedekind Prime Rings
• Endomorphism rings of torsionless modules

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