3 citations · 7 across the 5 of their papers we have counts for
5 papers
On pure monomorphisms and pure epimorphisms in accessible categories
Leonid Positselski
In all -accessible additive categories, -pure monomorphisms and -pure epimorphisms are well-behaved, as shown in our previous paper arXiv:2311.02418. This is known to be n…
The categories of corings and coalgebras over a ring are locally countably presentable
Leonid Positselski
For any commutative ring , we show that the categories of -coalgebras and cocommutative -coalgebras are locally -presentable, while the categories of -flat $R…
Resolutions as directed colimits
Leonid Positselski
A general principle suggests that "anything flat is a directed colimit of countably presentable flats". In this paper, we consider resolutions and coresolutions of modules over a c…
Locally coherent exact categories
Leonid Positselski
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…
Notes on limits of accessible categories
Leonid Positselski
Let be a regular cardinal, be a smaller infinite cardinal, and be a -accessible category where colimits of -indexed chains exist. We show that various c…