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arXiv · 1205.2983

Envelopes and Weakly Radicals of Submodules

Erol Yilmaz·Sibel Cansu
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Abstract

Let $N$ be a submodule of a finitely generated module $M$ over a Noetherian ring. A method for the computation of the submodule generated by the envelope of $N$ is given. The relations between weakly prime submodules and their envelopes are investigated. Using these relations, a description of the weakly radical of a submodule is obtained. The results are illustrated by examples.

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Erol Yilmaz, Sibel Cansu. 2012-05-14. Envelopes and Weakly Radicals of Submodules. https://arxiv.org/abs/1205.2983

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