Algebraic computations in derived categories.

DOI10.1016/S0024-3795(02)00408-1zbMath1062.16022MaRDI QIDQ1874305

Amrey Krause

Publication date: 25 May 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

algorithmsGröbner basesderived categoriesprojective resolutionsAuslander-Reiten quiverstilting complexesalgebraic computationsspectroids

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Resolutions; derived functors (category-theoretic aspects) (18G10) Representations of quivers and partially ordered sets (16G20) Syzygies, resolutions, complexes in associative algebras (16E05)

Uses Software

• MuPAD
• pathalg

Cites Work

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• MuPAD
• Tame algebras and integral quadratic forms
• Finding the radical of an algebra of linear transformations
• Morita Theory for Derived Categories

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