Approximations with modules having linear resolutions.

DOI10.1016/S0021-8693(03)00261-8zbMath1061.16035MaRDI QIDQ1406767

Dan Zacharia, Roberto Martínez-Villa

Publication date: 7 September 2003

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

zbMATH Keywords

filtrationsKoszul algebrasselfinjective algebrasweakly Koszul modulesgraded Auslander-Reiten quiverslinear projective resolutions

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Syzygies, resolutions, complexes in associative algebras (16E05) Quadratic and Koszul algebras (16S37) Filtered associative rings; filtrational and graded techniques (16W70)

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Cites Work

• The Cartan map on categories of graded modules
• Finitely presented graded Lie algebras and homomorphisms of local rings
• Graded Artin algebras, rational series, and bounds for homological dimensions
• Graded algebras of global dimension 3
• Algebraic bundles over \(\mathbb P^n\) and problems of linear algebra
• Preprojective modules over Artin algebras
• On modules with linear presentations
• Graded, selfinjective, and Koszul algebras
• Local rings over which all modules have rational Poincaré series
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