Projective resolutions and the global dimension of subhereditary orders

DOI10.1007/BF01324721zbMath0686.16004OpenAlexW2011487940MaRDI QIDQ1262374

Alfred Wiedemann

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01324721

zbMATH Keywords

global dimensionminimal projective resolutiongeneralized Bäckström ordershereditary overorderindecomposable \(\Lambda \) - representation

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Homological dimension in associative algebras (16E10) Representation theory of associative rings and algebras (16Gxx)

Cites Work

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• Lattices over subhereditary orders and socle-projective modules
• Diagrammatic methods in the representation theory of orders
• Some examples of orders of global dimension two
• Orders of global dimension two
• Global dimensions of a class of tiled orders
• A characterization of orders of finite lattice type
• Some remarks on subhereditary, bäckström and auslander orders
• Global Dimension of Orders

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