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arXiv · 2410.12447

A complete presentation of $(\mathbb{C}\mbox{[X]},\circ)$

Barbu Rudolf Berceanu
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Abstract

We recall the fundamental theorem of J.F. Ritt, with a stress on the action of the affine group and canonical forms of complex polynomials. Then we give a complete presentation of the monoid $(\mathbb{C}\mbox{[X]},\circ)$. A list of decomposable polynomials is given in degrees $\leq 12$.

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Barbu Rudolf Berceanu. 2024-10-16. A complete presentation of $(\mathbb{C}\mbox{[X]},\circ)$. https://arxiv.org/abs/2410.12447

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