### Abstract

Let ƒ and g be polynomials with coefficients in a commutative ring A. Let ƒ be monic. We show that the resultant of/and g equals the norm from A[x] ƒ (ƒ) to A of g. As a corollary we deduce that if c is in A and also in the ideal generated by ƒ and g, then the resultant divides c^{n}, where n is the degree of ƒ.

Original language | English |
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Pages (from-to) | 419-420 |

Number of pages | 2 |

Journal | Proceedings of the American Mathematical Society |

Volume | 89 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1983 |

Externally published | Yes |

### Keywords

- Resultants

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## Cite this

Myerson, G. (1983). On resultants.

*Proceedings of the American Mathematical Society*,*89*(3), 419-420. https://doi.org/10.1090/S0002-9939-1983-0715856-2