hide
Free keywords:
-
Abstract:
In this paper we establish a connection between subresultants and locally
nilpotent derivations over commutative rings containing the rationals. As
consequence of this connection, we prove that for any commutative ring with
unit and any polynomials P and Q in $\mathcal{A}[y]$, the ith subresultant of P
and Q is the determinant of a matrix, depending only on the degrees of P and Q,
whose entries are taken from the list built with P, Q and their successive
Hasse derivatives.