The notion of an extriangulated category gives a unification of existing theories in exact or
abelian categories and in triangulated categories. In this article, we develop Auslander …

The notion of an extriangulated category gives a unification of existing theories in exact or
abelian categories and in triangulated categories. In this article, we develop Auslander …

We give a classification of all exact structures on a given idempotent complete additive
category. Using this, we investigate the structure of an exact category with finitely many …

Let $\mathscr {C} $ be an $ n $-exangulated category. In this note, we show that if $\mathscr
{C} $ is locally finite, then $\mathscr {C} $ has Auslander-Reiten $ n $-exangles. This unifies …

Let (S, n) be a commutative noetherian local ring and ω∈ n be non-zerodivisor. This paper
deals with the behavior of the category Mon (ω, P) consisting of all monomorphisms …

Abstract Let (C, E, s) be an Ext-finite, Krull-Schmidt and k-linear extriangulated category with
ka commutative artinian ring. We define an additive subcategory C r (respectively, C l) of C …

Let (𝒞, 𝔼, 𝔰) be an Ext-finite, Krull–Schmidt and k-linear n-exangulated category with ka
commutative artinian ring. In this note, we prove that 𝒞 has Auslander–Reiten–Serre duality …

Abstract Let (C, E, s) be an Ext-finite, Krull-Schmidt and k-linear n-exangulated category with
ka commutative artinian ring. In this note, we define two additive subcategories C r and C l of …

Extriangulated categories were introduced by Nakaoka and Palu, which unify exact
categories and extension-closed subcategories of triangulated categories, and recently …

Zhou and Zhu have shown that if C \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym}
\usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} …