Abstract Herschend-Liu-Nakaoka introduced the notion of n-exangulated categories. It is not
only a higher dimensional analogue of extriangulated categories defined by Nakaoka-Palu …

Herschend-Liu-Nakaoka introduced the concept of $ n $-exangulated categories as higher-
dimensional analogues of extriangulated categories defined by Nakaoka-Palu. The class of …

THE NEW RESULTS IN n-ABELIAN CATEGORY 1. Introduction Category theory formalizes
mathematical structures and its concepts in ter Page 1 DOI: 10.28919/ejma.2021.1.4 Eur. J …

In this paper, we study the ideal approximation theory associated to almost $ n $-exact
structures in the $ n $-exangulated category. The notions of $ n $-ideal cotorsion pairs and …

Let T be ak-linear Hom-finite (n+ 2)-angulated category with n-suspension functor Σ n, split
idempotents, and Serre functor S. Let T be an Oppermann–Thomas cluster tilting object in T …

Let k be an algebraically closed field, n≥ 1 an integer, 𝒯 ak-linear Hom-finite (n+ 2)-
angulated category with n-suspension functor Σ n, a Serre functor S, and split idempotents …

We characterize the modules of infinite projective dimension over the endomorphism
algebras of Oppermann–Thomas cluster-tilting objects X in (n+ 2)-angulated categories (𝒞 …

In this paper, we study ideal approximation theory associated to almost $ n $-exact
structures in extension closed subcategories of $ n $-angulated categories. For $ n= 3$, an …

We introduce the higher version of Adachi-Iyama-Reiten's support τ-tilting pairs, which are
regarded as a generalization of maximal τ n-rigid pairs in the sense of Jacobsen-Jørgensen …