Exact subcategories, subfunctors of $\operatorname{Ext}$, and some applications
Category Theory
2023-10-31 v3 Commutative Algebra
Representation Theory
Abstract
Let be an exact category. We establish basic results that allow one to identify sub(bi)functors of using additivity of numerical functions and restriction to subcategories. We also study a small number of these new functors over commutative local rings in details, and find a range of applications from detecting regularity to understanding Ulrich modules.
Keywords
Cite
@article{arxiv.2205.15297,
title = {Exact subcategories, subfunctors of $\operatorname{Ext}$, and some applications},
author = {Hailong Dao and Souvik Dey and Monalisa Dutta},
journal= {arXiv preprint arXiv:2205.15297},
year = {2023}
}
Comments
To appear in Nagoya Mathematical Journal. This arXiv version contains one additional result (than the Journal Version), namely Proposition 5.1.27