Adjoint functors and representation dimensions

DOI10.1007/s10114-005-0685-3zbMath1107.18006OpenAlexW2132030065MaRDI QIDQ2508579

Changchang Xi

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0685-3

zbMATH Keywords

Artin algebraadjoint functorrepresentation dimensiontilting module

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of associative Artinian rings (16G10) Homological dimension (category-theoretic aspects) (18G20) Homological dimension in associative algebras (16E10)

Related Items (11)

Gorenstein homological aspects of monomorphism categories via Morita rings ⋮ Representation dimension via tilting theory ⋮ The extension dimension of abelian categories ⋮ Representation dimension for Hopf actions. ⋮ Hopf extensions of CM-finite Artin algebras ⋮ On the finitistic dimension conjecture. III: Related to the pair \(eAe\subseteq A\). ⋮ THE FINITISTIC DIMENSION CONJECTURE AND RELATIVELY PROJECTIVE MODULES ⋮ Tilting modules and representation dimensions. ⋮ Gorenstein homological properties for Hopf--Galois extensions ⋮ Homological dimensions of skew group algebras ⋮ The representation invariants of 2-term silting complexes

Cites Work

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• Coxeter Functors Without Diagrams
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