Global Dimension of Orders

DOI10.2307/1995632zbMath0221.16003OpenAlexW4235494780MaRDI QIDQ5625371

Richard B. Tarsy

Publication date: 1970

Full work available at URL: https://doi.org/10.2307/1995632

Mathematics Subject Classification ID

Valuation rings (13F30) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Homological dimension in associative algebras (16E10)

Related Items

Minimal tiled orders of finite global dimension, Matrix subrings having finite global dimension, A tiled order having large global dimension, The max-plus algebra of exponent matrices of tiled orders, Gorenstein tiled orders, Some constructions of rings of finite global dimension, Global Dimension of Triangular Orders, On rigid quivers., Global dimension of Noetherian serial rings., Injective Dimension of Quaternion Orders, Global Dimension of Triangular Orders Over a Discrete Valuation Ring, Some examples of orders of global dimension two, On the K-theory of tiled orders, Tiled Orders of Finite Global Dimension, Global Dimension of Tiled Orders Over Commutative Noetherian Domains, Global Dimension of Tiled Orders Over a Discrete Valuation Ring, Projective resolutions and the global dimension of subhereditary orders, Global dimensions of a class of tiled orders, Maximal quaternion orders, Quivers of associative rings., A curious property of three-by-three matrices and an application to orders, Neat idempotents and tiled orders having large global dimension

Cites Work

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• Noncommutative localizations and applications
• Examples of orders over discrete valuation rings
• A Change of Rings Theorem
• Hereditary Orders
• Maximal Orders