Wide subcategories of 𝑑-cluster tilting subcategories

DOI10.1090/tran/8051zbMath1490.16024arXiv1705.02246OpenAlexW2989573790MaRDI QIDQ5218236

Martin Herschend, Peter Jørgensen, Laertis Vaso

Publication date: 2 March 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02246

zbMATH Keywords

functorially finite subcategorywide subcategory\(d\)-abelian category\(d\)-cluster tilting subcategoryhigher homological algebra\(d\)-homological pair\(d\)-pseudoflat morphismalgebra epimorphism

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Abelian categories, Grothendieck categories (18E10) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20)

Related Items (12)

Higher ideal approximation theory ⋮ \(n\mathbb{Z}\)-Gorenstein cluster tilting subcategories ⋮ The role of gentle algebras in higher homological algebra ⋮ Axiomatizing subcategories of abelian categories ⋮ Hearts of twin cotorsion pairs on extriangulated categories ⋮ Classification of higher wide subcategories for higher Auslander algebras of type \(A\) ⋮ Cotorsion classes in higher homological algebra ⋮ Auslander-Reiten \((d + 2)\)-angles in subcategories and a \((d + 2)\)-angulated generalisation of a theorem by Brüning ⋮ Pure semisimple \(n\)-cluster tilting subcategories ⋮ d-Auslander–Reiten sequences in subcategories ⋮ Relations for Grothendieck groups of \(n\)-cluster tilting subcategories ⋮ THE COMBINATORICS OF TENSOR PRODUCTS OF HIGHER AUSLANDER ALGEBRAS OF TYPEA

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