We study localization theory in higher homological algebra, concentrating at the
localizations of n-abelian and n-angulated categories. In both cases, starting with a class of …

The aim of this thesis is to develop a localization theory in the higher homological algebra of
n-abelian and n-angulated categories. Analogously to the classical cases of an abelian or a …

We fill a gap in the literature regarding 'transport of structure'for (n+ 2)-angulated, n-exact, n-
abelian and n-exangulated categories appearing in (classical and higher) homological …

Higher homological algebra was introduced by Iyama. It is also known as-homological
algebra where is a fixed integer, and it deals with-cluster tilting subcategories of abelian …

Higher homological algebra, basically done in the framework of an $ n $-cluster tilting
subcategory $\mathcal {M} $ of an abelian category $\mathcal {A} $, has been the topic of …

Given a cohomological functor from a triangulated category to an abelian category, we
construct under appropriate assumptions for any localization functor of the abelian category …

These are notes on higher dimensional homological algebra for the LMS–CMI Research
School “New trends in representation theory—The impact of cluster theory in representation …

We introduce n-abelian and n-exact categories, these are analogs of abelian and exact
categories from the point of view of higher homological algebra. We show that n-cluster …

In this paper we define Gabriel monads as the idempotent monads associated to exact
reflective localizations in Abelian categories and characterize them by a simple set of …

For a fixed ring, different classes of ring epimorphisms and localisation maps are compared.
In fact, we provide sufficient conditions for a ring epimorphism to be a universal localisation …