Duality between injective envelopes and flat covers
Commutative Algebra
2023-10-17 v2
Abstract
We establish a duality between injective envelopes and flat covers over a commutative Noetherian ring. One case of this duality states that a morphism is an injective envelope, if and only if its Matlis dual is a flat cover. We also show that if we swap injective envelopes and flat covers in this duality, neither implication is true in general.
Cite
@article{arxiv.2212.02554,
title = {Duality between injective envelopes and flat covers},
author = {Ville Puuska},
journal= {arXiv preprint arXiv:2212.02554},
year = {2023}
}
Comments
7 pages