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  Subresultants and locally nilpotent derivations

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

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El Kahoui, M'hammed1, Author           
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1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 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.

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Language(s): eng - English
 Dates: 2005-05-302004
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: eDoc: 232001
Other: Local-ID: C1256428004B93B8-0DB0E4745F7F83D4C1256FB3004DB295-ElKahoui2004b
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Title: Linear Algebra and its Applications
Source Genre: Journal
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Pages: - Volume / Issue: 380 Sequence Number: - Start / End Page: 253 - 261 Identifier: ISSN: 0024-3795