Injective Rota-Baxter operators of weight 1 on $F[x]$

Vsevolod Gubarev

We describe all injective Rota-Baxter operators $R$ of weight 1 on the polynomial algebra $F[x]$. When $\mathrm{char}F=p>0$, the only one is $R=-\mathrm{id}$. When $\mathrm{cha…