### Abstract

Let R be a ring with unity, g a generalized derivation on R and f ( X 1,..., X k ) a multilinear polynomial. In this article we describe the structure of R provided that g ( f ( x 1 ,..., x k )) is either invertible or nilpotent for every x 1,..., x k in some nonzero ideal of R .

Original language | English |
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Pages (from-to) | 633-640 |

Number of pages | 8 |

Journal | Communications in Algebra |

Volume | 34 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2006 Jan 1 |

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### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory