Neat idempotents and tiled orders having large global dimension

DOI10.1016/S0021-8693(02)00163-1zbMath1019.16009OpenAlexW2090605082MaRDI QIDQ1858215

Hisaaki Fujita

Publication date: 12 February 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00163-1

zbMATH Keywords

primitive idempotentsglobal dimensiontiled ordersneat idempotents

Mathematics Subject Classification ID

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

Related Items (2)

The max-plus algebra of exponent matrices of tiled orders ⋮ A Tiled Order of Finite Global Dimension with No Neat Primitive Idempotent

Cites Work

• Path orders of global dimension two
• On the global dimension of algebras over regular local rings
• A construction of tilting modules associated with a simple module
• A tiled order having large global dimension
• Global dimensions of a class of tiled orders
• Erratum to "Tiled Orders of Finite Global Dimension"
• Neat algebras
• Global Dimension of Tiled Orders Over a Discrete Valuation Ring
• Discrete posets, cell complexes, and the global dimension of tiled orders
• Global Dimension of Triangular Orders
• Global Dimension of Orders
• Global Dimension of Triangular Orders Over a Discrete Valuation Ring

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