Remarks on VHC-orders in a simple Artinian ring

DOI10.1016/0022-4049(84)90081-1zbMath0528.16002OpenAlexW1992041619WikidataQ127390999 ScholiaQ127390999MaRDI QIDQ786889

Hidetoshi Marubayashi

Publication date: 1984

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(84)90081-1

zbMATH Keywords

Krull ordersorders in simple algebrasprincipal ideal theoremtertiary decompositionv-completely faithful idealsv-invertible idealsVHC-orders

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Prime and semiprime associative rings (16N60) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Localization and associative Noetherian rings (16P50) Division rings and semisimple Artin rings (16Kxx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (9)

On bounded v-hc orders in a simple artinian ring ⋮ Group rings which are v-HC orders and Krull orders ⋮ Non commutative unique factorization rings ⋮ Polynomials determining hereditary prime PI-rings ⋮ Maximality of pbw extensions of orders ⋮ Graded rings over arithmetical orders ⋮ A skew polynomial ring over a v-hc order with enough V-inveriible ideals ⋮ Divtsorially graded rings by polycyclic-by-finite groups ⋮ On v-ideals in a VHC order

Cites Work

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• Ordres maximaux au sens de K. Asano
• Anneaux de Krull non commutatifs
• Non commutative Krull rings
• Localization at semiprime ideals
• A characterization of bounded Krull prime rings
• Hereditary Noetherian prime rings
• Localizations of Dedekind prime rings
• Localisation in Asano orders
• A krull type generalization of knp rings with enough Invertible ideals
• Artinian Quotient Rings^†

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