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Journal Article

Subresultants and locally nilpotent derivations


El Kahoui,  M'hammed
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

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El Kahoui, M. (2004). Subresultants and locally nilpotent derivations. Linear Algebra and its Applications, 380, 253-261.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-2B49-3
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.