We initiate in this article the study of weakly exact structures, a generalisation of Quillen
exact structures. We introduce weak counterparts of one-sided exact structures and show …

The study of exact structures on an additive category A is closely related to the study of
closed additive sub-bifunctors of the maximal extension bifunctor Ext1 on A. We initiate in …

We give a classification of substructures (= closed subbifunctors) of a given skeletally small
extriangulated category by using the category of defects, in a similar way to the author's …

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 …

On the maximal exact structure of an additive categoryAll logo sign_in Unia Europejska A+
CATEGORY SCIENTIFIC UNIT Institute Directory Board About us Scientific Council History …

We show that for a given exact category, there exists a bijection between semibricks
(pairwise Hom-orthogonal set of bricks) and length wide subcategories (exact extension …

We prove that the 2-category of small abelian categories with exact functors is anti-
equivalent to the 2-category of definable additive categories. We define and compare …

In this article we recast some of the results developped in articles [19, 22] but in the setup of
cubical geometry. Thus we define a monad on ℂ𝕊ets whose algebras are models of cubical …

We prove an equivalence between cocomplete Yoneda structures and certain proarrow
equipments on a 2-category $\mathcal K $. In order to do this, we recognize the presheaf …

Maximal exact structures on additive categories revisited - Crivei - 2012 - Mathematische
Nachrichten - Wiley Online Library Skip to Article Content Skip to Article Information Wiley Online …