On modules with linear presentations

DOI10.1006/jabr.1997.7402zbMath0988.16031OpenAlexW2034623425WikidataQ105553260 ScholiaQ105553260MaRDI QIDQ1270386

Øyvind Solberg, Idun Reiten, Edward Lee Green, Roberto Martínez-Villa, Dan Zacharia

Publication date: 4 April 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7402

zbMATH Keywords

projective dimensiongraded algebrascategories of modulesequivalencesKoszul modulesalmost split sequences in subcategorieslinear presentationsquadratic monomial algebras

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Graded rings and modules (associative rings and algebras) (16W50) Homological dimension in associative algebras (16E10) Quadratic and Koszul algebras (16S37)

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Cites Work

• The Cartan map on categories of graded modules
• Graded Artin algebras, rational series, and bounds for homological dimensions
• Almost split sequences in subcategories
• Representation theory of graded Artin algebras
• Minimal resolutions of algebras
• Graded, selfinjective, and Koszul algebras
• The cohomology ring of a monomial algebra.
• Contravariantly finite subcategories and torsion theories
• Relative homology and representation theory 1
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• The Kernel of an Irreducible Map
• Koszul Duality Patterns in Representation Theory
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