A Note on Projective Modules
Commutative Algebra
2020-11-17 v1
Abstract
This expository note delves into the theory of projective modules parallel to the one developed for injective modules by Matlis. Given a perfect ring , we present a characterization of indecomposable projective -modules and describe a one-to-one correspondence between the projective indecomposable -modules and the simple -modules.
Cite
@article{arxiv.2011.08086,
title = {A Note on Projective Modules},
author = {Hossein Faridian},
journal= {arXiv preprint arXiv:2011.08086},
year = {2020}
}