An ideal1zer with respect to a link between maximal ideals

DOI10.1080/00927878808823618zbMath0641.16004OpenAlexW2050137290MaRDI QIDQ3781869

Hisaaki Fujita

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/00927878808823618

zbMATH Keywords

maximal idealsprime idealsglobal dimensionhereditary orderidealizerhereditary noetherian prime ringbasic tiled R-orderiterated link-idealizerlattice of right S-moduleslink-connected component

Mathematics Subject Classification ID

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Noetherian rings and modules (associative rings and algebras) (16P40) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (2)

A tiled order having large global dimension ⋮ Tiled Orders of Finite Global Dimension

Cites Work

• Unnamed Item
• Path orders of global dimension two
• Subrings of idealizer rings
• Idealizers in rings
• Hereditary Noetherian prime rings
• Idealizers and hereditary Noetherian prime rings
• Some constructions of rings of finite global dimension
• Constructions of Hereditary Noetherian Rings and Simple Rings
• The Coincidence of Idealizer Subrings
• On a Minimal Chain of Iterated Idealizers From an HNP-Ring
• Localization in Non-Commutative Noetherian Rings
• Noetherian prime rings of krull dimension one
• Multiple Idealizers and Hereditary Noetherian Prime Rings

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