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polynomials – Product construction of group $Aut(okay(t)[x_1,ldots, x_n])$

$R = okay(t)[x_1,ldots, x_n]$– polynomial algebra over bailiwick $okay(t)$ ($okay$ is assumed to breathe closed)

Is it undoubted that $textual content{Aut}(R) = textual content{ZAut}(R)cdot A_n(R)$?

Where $textual content{Aut}(R)$ is the automorphism group of $okay(t)$-algebra $R$ and $A_n$– its affine automorphisms. Also $textual content{ZAut}(R)$ is the clique of $okay(t)$ automorphisms of $R$ such that $alpha (okay[t,x_1,ldots, x_n]) = okay[t,x_1,ldots, x_n]$.

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