### Abstract

Let A be a ring with a simple right module M and D=End(MA). Let {θ_{1}, θ_{2}, θ_{n}} be a reduced set of skew derivations, where each i is a i-derivation of A satisfying ij=ji and ij=ji for all i, j. Let 1, m be distinct words of the form [image omitted], where each isp in the case of char(D)=p0. Let 1, be mutually M-independent automorphisms of A. Then for any D-independent elements x1, x2, xkM and any elements zijtM, there exists aA such that zijt=xiajt for all i=1, 2, k, j=1, 2, m, t=1, .

Original language | English |
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Pages (from-to) | 1391-1413 |

Number of pages | 23 |

Journal | Communications in Algebra |

Volume | 35 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2007 Apr 1 |

### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory

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## Cite this

Chuang, C. L., & Liu, C. K. (2007). Extended Jacobson density theorem for rings with skew derivations.

*Communications in Algebra*,*35*(4), 1391-1413. https://doi.org/10.1080/00927870601142207