@article{Yengui_Ben Amor_2021, title={Saturation of finitely-generated submodules of free modules over Prüfer domains}, volume={13}, url={http://armjmath.sci.am/index.php/ajm/article/view/497}, abstractNote={<p>We propose to give an algorithm for computing the $R$-saturation of a finitely-generated submodule of a free module $E$ over a Prüfer domain $R$. To do this, we start with the local case, that is, the case where $R$ is a valuation domain. After that, we consider the global case ($R$ is a Prüfer domain) using the dynamical method. The proposed algorithm is based on an algorithm given by Ducos, Monceur and Yengui in the case $E=R[X]^m$ which is reformulated here in a more general setting in order to reach a wider audience. The last section is devoted to the case where $R$ is a Bézout domain. Particular attention is paid to the case where $R$ is a principal ideal domain ($\mathbb{Z}$ as the main example).</p>}, number={1}, journal={Armenian Journal of Mathematics}, author={Yengui, Ihsen and Ben Amor, Faten}, year={2021}, month={Mar.} }