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 language | English |
---|---|
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