Almost split sequences in the category of complexes of modules

DOI10.1142/S0219498815500371zbMath1311.16011MaRDI QIDQ5175437

Razieh Vahed, Shokrollah Salarian

Publication date: 23 February 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Artin algebrashomotopy categoriesAuslander-Reiten theoryalmost split sequences for complexescategories of complexes of modules

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10) Derived categories and associative algebras (16E35)

Cites Work

• On the derived category of a finite-dimensional algebra
• The Auslander-Reiten formula for complexes of modules.
• Auslander-Reiten theory on the homotopy category of projective modules.
• Gorenstein homological dimensions.
• Almost split sequences for complexes of fixed size.
• Comments on the functor Ext
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• the stable derived category of a noetherian scheme
• Covers and envelopes in Grothendieck categories: Flat covers of complexes with applications

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