On v-ideals in a VHC order

DOI10.3792/pjaa.59.339zbMath0539.16003OpenAlexW2072692318MaRDI QIDQ793818

Hidetoshi Marubayashi

Publication date: 1983

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.59.339

zbMATH Keywords

HNP ringsv-idealsVHC orders

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Divisibility, noncommutative UFDs (16U30) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items

Ore-Rees rings which are maximal orders., On bounded v-hc orders in a simple artinian ring, Examples of Ore extensions which are maximal orders whose based rings are not maximal orders, Non commutative unique factorization rings

Cites Work

• Unnamed Item
• Remarks on VHC-orders in a simple Artinian ring
• Ideals of hereditary Noetherian prime rings
• Hereditary Noetherian prime rings
• Idealizers and hereditary Noetherian prime rings
• A krull type generalization of knp rings with enough Invertible ideals
• A skew polynomial ring over a v-hc order with enough V-inveriible ideals
• Rings with Enough Invertible Ideals