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arXiv · 1204.3926

A note on the construction of finitely injective modules

Pedro A. Guil Asensio·Manuel C. Izurdiaga·Blas Torrecillas
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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 $R$ is left noetherian if and only if each finitely injective left $R$-module is trivial, thus answering an open question posed by Salce.

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Pedro A. Guil Asensio, Manuel C. Izurdiaga, Blas Torrecillas. 2012-04-17. A note on the construction of finitely injective modules. https://arxiv.org/abs/1204.3926

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