Injective modules and fp-injective modules over valuation rings
环与代数
2007-05-23 v1
摘要
It is shown that each almost maximal valuation ring R such that every indecomposable injective module is countably generated, satisfies the following condition (C): each fp-injective module is locally injective. The converse holds if R is a domain. Moreover, it is proved that a valuation ring that sastisfies this condition (C) is almost maximal.
引用
@article{arxiv.math/0409519,
title = {Injective modules and fp-injective modules over valuation rings},
author = {Francois Couchot},
journal= {arXiv preprint arXiv:math/0409519},
year = {2007}
}