The Frobenius functor and injective modules
Commutative Algebra
2012-03-01 v2
Abstract
We investigate commutative Noetherian rings of prime characteristic such that the Frobenius functor applied to any injective module is again injective. We characterize the class of one-dimensional local rings with this property and show that it includes all one-dimensional F-pure rings.
Cite
@article{arxiv.1201.1263,
title = {The Frobenius functor and injective modules},
author = {Thomas Marley},
journal= {arXiv preprint arXiv:1201.1263},
year = {2012}
}
Comments
15 pages