@article { author = {Yengui, Ihsen and Ben Amor, Faten}, title = {An algorithm for doubly unitary Laurent polynomials}, journal = {Khayyam Journal of Mathematics}, volume = {8}, number = {2}, pages = {228-233}, year = {2022}, publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)}, issn = {2423-4788}, eissn = {2423-4788}, doi = {10.22034/kjm.2022.331453.2498}, abstract = {We propose two algorithms that for any ring $R$, given a doubly unitary Laurent polynomial $g \in R[X,X^{-1} ]$, compute $h \in R[X,X^{-1}] $ such that $gh \in R[ X^{-1}+X ]$ and $gh$ is monic. The first algorithm is directly extracted from the classical proof. The second algorithm is more direct and simpler. It relies on a symmetrization technique.}, keywords = {Doubly unitary Laurent polynomial,doubly monic Laurent polynomial,integral element,Symmetric Polynomial}, url = {https://www.kjm-math.org/article_154699.html}, eprint = {https://www.kjm-math.org/article_154699_1e825df489c67ed6d8154770fe2eec08.pdf} }