Gorenstein defect categories of triangular matrix algebras

DOI10.1016/J.JALGEBRA.2017.03.008zbMath1367.18003arXiv1412.0910OpenAlexW2963863803MaRDI QIDQ524487

Ming Lu

Publication date: 2 May 2017

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

Full work available at URL: https://arxiv.org/abs/1412.0910

zbMATH Keywords

Gorenstein algebrarecollementGorenstein defect categorytriangular matrix algebra

Mathematics Subject Classification ID

Localization of categories, calculus of fractions (18E35)

Related Items (14)

The extension dimension of abelian categories ⋮ Tilting pairs and Wakamatsu tilting subcategories over triangular matrix algebras ⋮ Relative homological dimensions in recollements of extriangulated categories ⋮ Eventually homological isomorphisms in recollements of derived categories ⋮ Triangle equivalences of Gorenstein defect categories induced by homological epimorphisms ⋮ Gorenstein projective modules and recollements over triangular matrix rings ⋮ Resolving resolution dimension of recollements of abelian categories ⋮ Recollements of stable categories of Gorenstein injective modules ⋮ Gorenstein properties of simple gluing algebras ⋮ Gorenstein global dimension of recollements of abelian categories ⋮ The recollements induced by contravariantly finite subcategories ⋮ When the Schur functor induces a triangle-equivalence between Gorenstein defect categories ⋮ Resolving subcategories and dimensions in recollements of extriangulated categories ⋮ Support $\tau $-tilting modules and recollements

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