Quasi-hereditary orders

DOI10.1007/BF02568775zbMath0706.16008OpenAlexW2075663868MaRDI QIDQ919075

Steffen Koenig

Publication date: 1990

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155538

zbMATH Keywords

highest weight categoryglobal dimensionalmost split sequencesclassical ordersintegral Schur algebrasquasi-hereditary orders

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Homological dimension in associative algebras (16E10)

Related Items (7)

Minors and resolutions of non-commutative schemes ⋮ Tilting complexes, perpendicular categories and recollements of derived module categories of rings ⋮ Every order is the endomorphism ring of a projective module over a quasi–hereditary order ⋮ Projective resolutions and quasi-heredity ⋮ Global dimension two orders are quasi-hereditary ⋮ A structure theorem for Noetherian P. I. rings with global dimension two ⋮ Minors and Categorical Resolutions

Cites Work

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• Integral and graded quasi-hereditary algebras. I
• Derived categories and Morita theory
• Algebraic stratification in representation categories
• Quasi-hereditary algebras
• Diagrammatic methods in the representation theory of orders
• Trivial extensions of Abelian categories. Homological algebra of trivial extensions of Abelian categories with applications to ring theory
• Integral representations and diagrams
• Global dimension two orders are quasi-hereditary

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