Let $R$ be a commutative ring with identity and $y=a_1x+a_2x^2+a_3x^3+.....$ be a power series in $R[[x]]$ such that $a_1$ is an unit in $R$.
Does there exists a way to express x as a power series of y with coefficients in $R$? Thanks
Let $R$ be a commutative ring with identity and $y=a_1x+a_2x^2+a_3x^3+.....$ be a power series in $R[[x]]$ such that $a_1$ is an unit in $R$.
Does there exists a way to express x as a power series of y with coefficients in $R$? Thanks