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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

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    As a start, I would recommend typing "reversion of series" into Google and seeing what comes up. If you find what you want that way, then you can come back and report to us.2011-11-19
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    A method like [this](http://mathworld.wolfram.com/SeriesReversion.html)?2011-11-19
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    Thanks to J.M., your link is helpful2011-11-20

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