Locally coherent exact categories
L Positselski - arXiv preprint arXiv:2311.02418, 2023 - arxiv.org
A locally coherent exact category is a finitely accessible additive category endowed with an
exact structure in which the admissible short exact sequences are the directed colimits of the …
exact structure in which the admissible short exact sequences are the directed colimits of the …
The left heart and exact hull of an additive regular category
R Henrard, S Kvamme, AC van Roosmalen… - arXiv preprint arXiv …, 2021 - ems.press
Quasi-abelian categories are abundant in functional analysis and representation theory. It is
known that a quasi-abelian category E is a cotilting torsionfree class of an abelian category …
known that a quasi-abelian category E is a cotilting torsionfree class of an abelian category …
Abelian envelopes of exact categories and highest weight categories
A Bodzenta, A Bondal - arXiv preprint arXiv:2012.15707, 2020 - arxiv.org
We define admissible and weakly admissible subcategories in exact categories and prove
that the former induce semi-orthogonal decompositions on the derived categories. We …
that the former induce semi-orthogonal decompositions on the derived categories. We …
Stable short exact sequences and the maximal exact structure of an additive category
W Rump - Fundamenta Mathematicae, 2015 - infona.pl
It was recently proved that every additive category has a unique maximal exact structure,
while it remained open whether the distinguished short exact sequences of this canonical …
while it remained open whether the distinguished short exact sequences of this canonical …
[引用][C] On the maximal exact structure of an additive category
W Rump - Fundamenta Mathematicae, 2011 - impan.pl
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 …
CATEGORY SCIENTIFIC UNIT Institute Directory Board About us Scientific Council History …
Notes on limits of accessible categories
L Positselski - arXiv preprint arXiv:2310.16773, 2023 - arxiv.org
Let $\kappa $ be a regular cardinal, $\lambda<\kappa $ be a smaller infinite cardinal, and
$\mathsf K $ be a $\kappa $-accessible category where colimits of $\lambda $-indexed …
$\mathsf K $ be a $\kappa $-accessible category where colimits of $\lambda $-indexed …
Nearly locally presentable categories
L Positselski, J Rosicky - arXiv preprint arXiv:1710.10476, 2017 - arxiv.org
We introduce a new class of categories generalizing locally presentable ones. The
distinction does not manifest in the abelian case and, assuming Vopenka's principle, the …
distinction does not manifest in the abelian case and, assuming Vopenka's principle, the …
[PDF][PDF] Functors on locally finitely presented additive categories
H Krause - Colloquium Mathematicum, 1998 - bibliotekanauki.pl
An additive category with direct limits is said to be locally finitely presented provided that the
full subcategory of finitely presented objects is skeletally small and every object is a direct …
full subcategory of finitely presented objects is skeletally small and every object is a direct …
Maximal exact structures on additive categories revisited
S Crivei - Mathematische Nachrichten, 2012 - Wiley Online Library
Maximal exact structures on additive categories revisited - Crivei - 2012 - Mathematische
Nachrichten - Wiley Online Library Skip to Article Content Skip to Article Information Wiley Online …
Nachrichten - Wiley Online Library Skip to Article Content Skip to Article Information Wiley Online …
When stable short exact sequences define an exact structure on any additive category
S Crivei - arXiv preprint arXiv:1209.3423, 2012 - arxiv.org
arXiv:1209.3423v2 [math.CT] 29 Jun 2019 Page 1 arXiv:1209.3423v2 [math.CT] 29 Jun 2019
WHEN STABLE SHORT EXACT SEQUENCES DEFINE AN EXACT STRUCTURE ON AN …
WHEN STABLE SHORT EXACT SEQUENCES DEFINE AN EXACT STRUCTURE ON AN …