Envelopes and Weakly Radicals of Submodules
Commutative Algebra
2012-05-15 v1
Abstract
Let be a submodule of a finitely generated module over a Noetherian ring. A method for the computation of the submodule generated by the envelope of 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.
Cite
@article{arxiv.1205.2983,
title = {Envelopes and Weakly Radicals of Submodules},
author = {Erol Yilmaz and Sibel Cansu},
journal= {arXiv preprint arXiv:1205.2983},
year = {2012}
}