A representation-theoretic approach to recollements of abelian categories

DOI10.1090/conm/716/14427zbMath1422.16007OpenAlexW2890265989MaRDI QIDQ5234928

Chrysostomos Psaroudakis

Publication date: 7 October 2019

Published in: Surveys in Representation Theory of Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/716/14427

zbMATH Keywords

hereditary algebrasCohen-Macaulay modulesdominant dimensionGorenstein algebrasfinitistic dimensionrepresentation dimensiontorsion pairsrecollements of abelian categoriesextension groupssingularity categorieseventually homological isomorphismshomological embeddings\((\mathsf{Fg})\) condition for Hochschild cohomologyrecollements of coherent functorsrecollements of heartsrecollements of module categoriesstratifying recollements

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Cohen-Macaulay modules in associative algebras (16G50) Homological dimension in associative algebras (16E10)

Related Items

Homological theory of k-idempotent ideals in dualizing varieties, Recollements and ladders for weighted projective lines, Properties of abelian categories via recollements, Recollements induced by left Frobenius pairs, Sur la noethérianité locale des foncteurs polynomiaux, Triangular matrix categories. II: Recollements and functorially finite subcategories, Ring constructions and generation of the unbounded derived module category, Lifting recollements of abelian categories and model structures, Resolving resolution dimension of recollements of abelian categories, Ladders of recollements of abelian categories, Auslander's formula for contravariantly finite subcategories, The recollements of purity, Reduction techniques for the finitistic dimension, Recollements of abelian categories and ideals in heredity chains—a recursive approach to quasi-hereditary algebras, Definability and approximations in triangulated categories

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