Relative Quotient Triangulated Categories

DOI10.1142/S1005386714000157zbMath1292.16007OpenAlexW2123305184MaRDI QIDQ5411691

Shengyong Pan

Publication date: 25 April 2014

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386714000157

zbMATH Keywords

finite dimensional algebrastilting modulesderived categoriesderived equivalencesCohen-Macaulay modulesArtin algebrascategories of finitely presented functorsclosed subbifunctorsSerre subcategoriesself-orthogonal modulesrelative quotient triangulated categories

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10) Derived categories and associative algebras (16E35)

Related Items

Relative derived equivalences and relative homological dimensions

Cites Work

• Quotient triangulated categories.
• Derived categories and stable equivalence
• Relative homology and representation theory II
• Gorenstein algebras and algebras with dominant dimension at least 2
• ON DERIVED EQUIVALENT COHERENT RINGS
• the stable derived category of a noetherian scheme
• Closed subbifunctors of the extension functor.