# sigma, delta constant

If $(\sigma ,\delta )$ is a skew derivation on a ring $R$, then a $(\sigma ,\delta )$-constant is an element $q$ of $R$ such that $\sigma (q)=q$ and $\delta (q)=0$.

Note: If $q$ is a $(\sigma ,\delta )$-constant, then it follows that $\sigma (q\cdot x)=q\cdot \sigma (x)$ and $\delta (q\cdot x)=q\cdot \delta (x)$ for all $x$ in $R$.

Title | sigma, delta constant |
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Canonical name | SigmaDeltaConstant |

Date of creation | 2013-03-22 11:49:38 |

Last modified on | 2013-03-22 11:49:38 |

Owner | antizeus (11) |

Last modified by | antizeus (11) |

Numerical id | 8 |

Author | antizeus (11) |

Entry type | Definition |

Classification | msc 16S36 |