A note on the construction of finitely injective modules
Rings and Algebras
2012-04-19 v1
Abstract
We develop a technique to construct finitely injective modules which are non trivial, in the sense that they are not direct sums of injective modules. As a consequence, we prove that a ring is left noetherian if and only if each finitely injective left -module is trivial, thus answering an open question posed by Salce.
Cite
@article{arxiv.1204.3926,
title = {A note on the construction of finitely injective modules},
author = {Pedro A. Guil Asensio and Manuel C. Izurdiaga and Blas Torrecillas},
journal= {arXiv preprint arXiv:1204.3926},
year = {2012}
}
Comments
4 pages