# 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 |
---|---|

Canonical name | SkewPolynomialRing |

Date of creation | 2013-03-22 11:49:35 |

Last modified on | 2013-03-22 11:49:35 |

Owner | antizeus (11) |

Last modified by | antizeus (11) |

Numerical id | 7 |

Author | antizeus (11) |

Entry type | Definition |

Classification | msc 16S36 |