# skew polynomial ring

If $(\sigma,\delta)$ is a left skew derivation on $R$, then we can construct the (left) skew polynomial ring $R[\theta;\sigma,\delta]$, which is made up of polynomials in an indeterminate $\theta$ and left-hand coefficients from $R$, with multiplication satisfying the relation

 $\theta\cdot r=\sigma(r)\cdot\theta+\delta(r)$

for all $r$ in $R$.

Title skew polynomial ring SkewPolynomialRing 2013-03-22 11:49:35 2013-03-22 11:49:35 antizeus (11) antizeus (11) 7 antizeus (11) Definition msc 16S36