The Grothendieck group of an \(n\)-exangulated category

DOI10.1007/S10485-020-09622-WzbMath1467.18017arXiv1912.04328OpenAlexW3118627574MaRDI QIDQ2044557

Johanne Haugland

Publication date: 9 August 2021

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.04328

zbMATH Keywords

Grothendieck group\(n\)-exact category\(n\)-exangulated category\((n+2)\)-angulated category\(n\)-exangulated subcategoryextriangulated subcategory

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) Grothendieck groups (category-theoretic aspects) (18F30) Derived categories, triangulated categories (18G80)

Related Items (6)

The role of gentle algebras in higher homological algebra ⋮ The category of extensions and a characterisation of \(n\)-exangulated functors ⋮ Grothendieck groups of \(d\)-exangulated categories and a modified Caldero-Chapoton map ⋮ Higher Auslander's defect and classifying substructures of \(n\)-exangulated categories ⋮ Unnamed Item ⋮ Grothendieck groups in extriangulated categories

Cites Work

• Unnamed Item
• Unnamed Item
• \(n\)-abelian and \(n\)-exact categories
• The axioms for \(n\)-angulated categories
• The Grothendieck group of an \(n\)-angulated category
• Cluster tilting for higher Auslander algebras.
• Some new axioms for triangulated categories
• Classifying dense resolving and coresolving subcategories of exact categories via Grothendieck groups
• \(K\)-theory and patching for categories of complexes
• Grothendieck groups in extriangulated categories
• Transport of structure in higher homological algebra
• Frobenius \(n\)-exangulated categories
• Triangulated Categories
• $n$-representation-finite algebras and $n$-APR tilting
• n-angulated categories

This page was built for publication: The Grothendieck group of an \(n\)-exangulated category