Approximation of subcategories by abelian subcategories
Category Theory
2023-05-09 v4 Commutative Algebra
Abstract
For a commutative ring and a weakly proregular ideal , we prove a simple universal property of the category of -complete -modules: it is the smallest replete exact abelian subcategory of the category of -modules which contains all the -adically complete -modules.
Cite
@article{arxiv.1006.0048,
title = {Approximation of subcategories by abelian subcategories},
author = {Andrew Salch},
journal= {arXiv preprint arXiv:1006.0048},
year = {2023}
}