Projective resolutions and quasi-heredity

DOI10.1007/BF01198636zbMath0723.16004OpenAlexW2019062230MaRDI QIDQ757555

Steffen Koenig

Publication date: 1992

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

Full work available at URL: https://doi.org/10.1007/bf01198636

zbMATH Keywords

endomorphism ringsprojective resolutionsglobal dimensionartinian ringindecomposable projective A-modulesquasi- hereditary ordersquasi-heredity

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Free, projective, and flat modules and ideals in associative algebras (16D40) Representations of associative Artinian rings (16G10) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Homological dimension in associative algebras (16E10) Artinian rings and modules (associative rings and algebras) (16P20)

Cites Work

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• Quasi-hereditary orders
• Quasi-hereditary algebras
• Global dimension two orders are quasi-hereditary
• Lattices over orders I
• Lattices over orders. II
• A Characterization of Artinian Rings whose Endomorphism Rings have Finite Global Dimension
• On hereditary orders

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