Some constructions of rings of finite global dimension

DOI10.1017/S001708950000570XzbMath0555.16011MaRDI QIDQ3218261

J. Chris Robson

Publication date: 1985

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

tiled ordersfinite global dimensionsemiprime Noetherian ringssubrings of finite direct sums of idealizers

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Homological dimension in associative algebras (16E10) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (5)

Matrix subrings having finite global dimension ⋮ An ideal1zer with respect to a link between maximal ideals ⋮ Finitistic dimensions of Noetherian rings ⋮ On the Global Dimension of a Ring Modulo its Nilpotent Radical ⋮ Ranks of LowK-Groups of Fibre Products

Cites Work

• Unnamed Item
• Subrings of idealizer rings
• Examples of orders over discrete valuation rings
• Subrings of Artinian and Noetherian rings
• Modules over Dedekind prime rings
• Idealizers and hereditary Noetherian prime rings
• Homologically Homogeneous Rings
• Torsion-Free and Divisible Modules Over Non-Integral-Domains
• Noetherian Rings of Finite Global Dimension
• Rings of finite global dimension integral over their centres
• Global Dimension of Tiled Orders Over Commutative Noetherian Domains
• Global Dimension of Tiled Orders Over a Discrete Valuation Ring
• Global Dimension of Triangular Orders
• Global Dimension of Orders
• Global Dimension of Triangular Orders Over a Discrete Valuation Ring
• Subrings of Noetherian Rings

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