TY - JOUR ID - 154699 TI - An algorithm for doubly unitary Laurent polynomials JO - Khayyam Journal of Mathematics JA - KJM LA - en SN - AU - Yengui, Ihsen AU - Ben Amor, Faten AD - Department of Mathematics, University of Sfax, 3000, Sfax, Tunisia Y1 - 2022 PY - 2022 VL - 8 IS - 2 SP - 228 EP - 233 KW - Doubly unitary Laurent polynomial KW - doubly monic Laurent polynomial KW - integral element KW - Symmetric Polynomial DO - 10.22034/kjm.2022.331453.2498 N2 - 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. UR - https://www.kjm-math.org/article_154699.html L1 - https://www.kjm-math.org/article_154699_1e825df489c67ed6d8154770fe2eec08.pdf ER -