Global dimensions of a class of tiled orders

DOI10.1016/0021-8693(89)90273-1zbMath0684.16001OpenAlexW1993646635MaRDI QIDQ1825256

Ellen E. Kirkman, James J. Kuzmanovich

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90273-1

zbMATH Keywords

global dimensionTarsy's conjecturetiled order

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Homological dimension in associative algebras (16E10)

Related Items (16)

A tiled order having large global dimension ⋮ Homological theory of recollements of abelian categories ⋮ Higher algebraic \(K\)-groups and \(\mathcal {D}\)-split sequences ⋮ Discrete posets, cell complexes, and the global dimension of tiled orders ⋮ On the global dimension of matrix subrings ⋮ Homological Dimensions of Semigroup Rings ⋮ Finitistic dimensions of Noetherian rings ⋮ On rigid quivers. ⋮ Global dimension of Noetherian serial rings. ⋮ A Tiled Order of Finite Global Dimension with No Neat Primitive Idempotent ⋮ Homological Dimensions in a Morita Context with Applications to Subidealizers and Fixed Rings ⋮ Projective resolutions and the global dimension of subhereditary orders ⋮ A structure theorem for Noetherian P. I. rings with global dimension two ⋮ TheK₁Group of Tiled Orders ⋮ Neat idempotents and tiled orders having large global dimension ⋮ A new characterisation of hereditary PI rings

Cites Work

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• Path orders of global dimension two
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• Matrix subrings having finite global dimension
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• Link graphs of tiled orders over a local Dedekind domain
• On the global dimension of fibre products
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• Piecewise domains
• Bounding the Global Dimension in Terms of the Dimension
• Global Dimension of Tiled Orders Over a Discrete Valuation Ring
• A Note on the Global Dimension of Subrings
• Global Dimension of Orders
• Global Dimension of Triangular Orders Over a Discrete Valuation Ring

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