The left heart and exact hull of an additive regular category
R Henrard, S Kvamme, AC van Roosmalen… - Rev. Mat …, 2023 - 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 …
Introduction to Ann-categories
TQ Nguyen - arXiv preprint math/0702588, 2007 - arxiv.org
In this paper, we present new concepts of Ann-categories, Ann-functors, and a transmission
of the structure of categories based on Ann-equivalences. We build Ann-category of Pic …
of the structure of categories based on Ann-equivalences. We build Ann-category of Pic …
Locally finitely presented categories and functor rings
JL García, PL Gómez Sánchez, J Martínez Hernández - 2005 - projecteuclid.org
By using the correspondence between locally finitely presented additive categories and
rings with enough idempotents, we study several properties of such rings in terms of the …
rings with enough idempotents, we study several properties of such rings in terms of the …
Some homological properties of ind-completions and highest weight categories
K Coulembier - Journal of Algebra, 2020 - Elsevier
We demonstrate equivalence between two definitions of lower finite highest weight
categories. We also show that, in the presence of a duality, a lower finite highest weight …
categories. We also show that, in the presence of a duality, a lower finite highest weight …
[HTML][HTML] Generators versus projective generators in abelian categories
C Paquette - Journal of Pure and Applied Algebra, 2018 - Elsevier
Let A be an abelian category. We prove that if A admits a generator M with End A (M) right
artinian, then A admits a projective generator. If A is further assumed to be Grothendieck …
artinian, then A admits a projective generator. If A is further assumed to be Grothendieck …
[引用][C] Ideals and clots in pointed regular categories
G Janelidze, L Márki, A Ursini - Applied Categorical Structures, 2009 - Springer
Ideals and Clots in Pointed Regular Categories Page 1 Ideals and Clots in Pointed Regular
Categories G. Janelidze & L. Márki & A. Ursini Received: 15 November 2007 /Accepted: 3 …
Categories G. Janelidze & L. Márki & A. Ursini Received: 15 November 2007 /Accepted: 3 …
Admissible intersection and sum property
S Hassoun, S Roy - arXiv preprint arXiv:1906.03246, 2019 - arxiv.org
We introduce subclasses of exact categories in terms of admissible intersections or
admissible sums or both at the same time. These categories are recently studied by Br\" …
admissible sums or both at the same time. These categories are recently studied by Br\" …
[HTML][HTML] Central extensions in semi-abelian categories
D Bourn, M Gran - Journal of pure and applied algebra, 2002 - Elsevier
In the context of semi-abelian categories, we develop some new xaspects of the categorical
theory of central extensions by Janelidze and Kelly. If C is a semi-abelian category and X is …
theory of central extensions by Janelidze and Kelly. If C is a semi-abelian category and X is …