Homological epimorphisms, compactly generated \(t\)-structures and Gorenstein-projective modules

DOI10.1007/s11401-018-1050-zzbMath1394.18005OpenAlexW2781478145MaRDI QIDQ1696637

Nan Gao, Xiaojing Xu

Publication date: 14 February 2018

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-018-1050-z

zbMATH Keywords

recollementhomological ring epimorphismGorenstein-projective moduleBBD-inductionBPP-inductioncompactly generated \(t\)-structure

Mathematics Subject Classification ID

Cites Work

• Reducing homological conjectures by \(n\)-recollements
• Recollements and Hochschild theory.
• Jordan-Hölder theorems for derived module categories of piecewise hereditary algebras.
• On Artin algebras arising from Morita contexts.
• Recollements and tilting objects
• Koszul duality
• Hochschild cohomology and stratifying ideals.
• Tilting complexes, perpendicular categories and recollements of derived module categories of rings
• Perpendicular categories with applications to representations and sheaves
• Relative homological algebra
• Averaging \(t\)-structures and extension closure of aisles
• Gorenstein homological aspects of monomorphism categories via Morita rings
• Silting objects, simple-minded collections, \(t\)-structures and co-\(t\)-structures for finite-dimensional algebras.
• Good tilting modules and recollements of derived module categories
• GORENSTEIN-PROJECTIVE MODULES OVER TRIANGULAR MATRIX ARTIN ALGEBRAS
• Relative singularity categories and Gorenstein-projective modules
• Unbounded ladders induced by Gorenstein algebras
• Recollements and Gorenstein algebras
• Construction of 𝑡-structures and equivalences of derived categories
• The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
• Gluing Silting Objects
• Stratifying endomorphism algebras
• Homological and homotopical aspects of torsion theories
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