Tilting theory and functor categories. II. Generalized tilting

DOI10.1007/s10485-011-9266-zzbMath1269.05065OpenAlexW2033500910MaRDI QIDQ2392101

Roberto Martínez-Villa, Martín Ortiz-Morales

Publication date: 1 August 2013

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-011-9266-z

zbMATH Keywords

functor categoriesclassical tilting

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Determinants, permanents, traces, other special matrix functions (15A15) Paths and cycles (05C38) Eigenvalues, singular values, and eigenvectors (15A18) Representations of associative Artinian rings (16G10)

Related Items (4)

Generalized tilting theory in functor categories ⋮ The Auslander-Reiten components seen as quasi-hereditary categories ⋮ Tilting objects in triangulated categories ⋮ A GENERALIZATION OF THE THEORY OF STANDARDLY STRATIFIED ALGEBRAS I: STANDARDLY STRATIFIED RINGOIDS

Cites Work

• Graded and Koszul categories
• Derived categories and Morita theory
• Almost split sequences in subcategories
• Applications of contravariantly finite subcategories
• Stable equivalence of dualizing R-varieties
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Tilting Theory and Functor Categories III. The Maps Category
• The homological theory of maximal Cohen-Macaulay approximations
• Representation Theory of Artin Algebras I
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