Adelman’s Abelianisation of an Additive Category Page 1 arXiv:1912.10800v1 [math.CT] 11
Dec 2019 Bachelor’s Thesis Adelman’s Abelianisation of an Additive Category Nico Stein …

For a compactly generated triangulated category we gives a new proof for the fact that the
category of modules over its subcategory consisting of all compact objects it is not only the …

We develop the theory of exact completions of regular $\infty $-categories, and show that the
$\infty $-categorical exact completion (resp. hypercompletion) of an abelian category …

In an abelian category $\mathscr {A} $ with small ${\rm Ext} $ groups, we show that there
exists a one-to-one correspondence between any two of the following: balanced pairs …

This thesis mainly pertains biproduct decompositions of objects in certain additive
categories that exhibit a peculiar regular behaviour. More precisely, in certain additive …

Let $\mathscr {F} $ be an $(n+ 2) $-angulated Krull-Schmidt category and $\mathscr
{A}\subset\mathscr {F} $ an $ n $-extension closed, additive and full subcategory with …

arXiv:0805.1505v4 [math.CT] 20 Apr 2009 Page 1 arXiv:0805.1505v4 [math.CT] 20 Apr
2009 Structure of Ann-categories Nguyen Tien Quang April 20, 2009 Abstract Each Ann-category …

The Popescu–Gabriel theorem states that each Grothendieck abelian category is a
localization of a module category. In this paper, we prove an analogue where Grothendieck …

A folklore result in category theory is that a (weakly) Cartesian closed category with finite co-
products is distributive. Usually, the proof of this small result is carried on using the fact that …