Auslander-Reiten sequences and global dimensions.

DOI10.4310/MRL.2006.v13.n6.a4zbMath1114.16009MaRDI QIDQ862064

Wei Hu, Changchang Xi

Publication date: 5 February 2007

Published in: Mathematical Research Letters (Search for Journal in Brave)

zbMATH Keywords

generatorsglobal dimensionArtin algebrasendomorphism algebrasAuslander-Reiten sequencesfinitistic dimensioncogeneratorsrepresentation dimensioncoherent functors

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10) Homological dimension (category-theoretic aspects) (18G20) Homological dimension in associative algebras (16E10)

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AUSLANDER GENERATORS AND HOMOLOGICAL CONJECTURES ⋮ \(\mathcal D\)-split sequences and derived equivalences. ⋮ Tilting modules and representation dimensions. ⋮ Finitistic dimension and Igusa-Todorov algebras. ⋮ The Global Dimension of the Endomorphism Algebra of a Generator-cogenerator for a Subcategory

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