Auslander-Reiten n -exangles and morphisms determined by objects in n -exangulated categories
From MaRDI portal
Publication:6164574
DOI10.1080/00927872.2023.2210677zbMath1524.18018OpenAlexW4376129168MaRDI QIDQ6164574
Jiaqun Wei, Qilian Zheng, Kaili Wu
Publication date: 28 July 2023
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2023.2210677
Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Abelian categories, Grothendieck categories (18E10) Categorical embedding theorems (18E20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(n\)-abelian and \(n\)-exact categories
- \(n\)-exangulated categories (I): definitions and fundamental properties
- Krull-Schmidt categories and projective covers
- Triangulated quotient categories revisited
- Applications of contravariantly finite subcategories
- Relations for the Grothendieck groups of triangulated categories
- Grothendieck groups in extriangulated categories
- Almost split triangles and morphisms determined by objects in extriangulated categories
- Classification of higher wide subcategories for higher Auslander algebras of type \(A\)
- On the existence of Auslander-Reiten \((d+2)\)-angles in \((d+2)\)-angulated categories
- A note on morphisms determined by objects
- Morphisms determined by objects: the case of modules over Artin algebras.
- Exact categories
- Noetherian hereditary abelian categories satisfying Serre duality
- Higher algebraic K-theory: I
- Representation theory of artin algebras iii almost split sequences
- Representation theory of artin algebras IV1)Invariants given by almost split sequences
- The generalized Auslander–Reiten duality on an exact category
- An introduction to higher Auslander-Reiten theory
- n-angulated categories
- Existence of n-Auslander–Reiten sequences via a finiteness condition
- The existence of n-Auslander–Reiten sequences via determined morphisms
This page was built for publication: Auslander-Reiten n -exangles and morphisms determined by objects in n -exangulated categories
