On resultants

Gerald Myerson*

*Corresponding author for this work

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 cn, where n is the degree of ƒ.

Original languageEnglish
Pages (from-to)419-420
Number of pages2
JournalProceedings of the American Mathematical Society
Volume89
Issue number3
DOIs
Publication statusPublished - 1983
Externally publishedYes

Keywords

  • Resultants

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