Jason K. C. Polák

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20142020

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math.RA2017

The Polypermutation Group of an Associative Ring

Jason K. C. Polak

We study permutation polynomials through the device of the \emph{polypermutation group} of an associative ring $R$ , denoted by $Pgr (R)$ . We derive some basic properties and c…

math.RA2017

Counting Separable Polynomials in $Z / n [x]$

Jason K. C. Polak

For a commutative ring $R$ , a polynomial $f \in R [x]$ is called separable if $R [x] / f$ is a separable $R$ -algebra. We derive formulae for the number of separable polynomials when $R…

The Polypermutation Group of an Associative Ring

Counting Separable Polynomials in Z/n[x]

Counting Separable Polynomials in $Z / n [x]$