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Elimination Theory for differential difference polynomials

By Elizabeth L. Mansfield and A. Szanto


In this paper we give an elimination algorithm for differential difference polynomial systems. We use the framework of a generalization of Ore algebras, where the independent variables are non-commutative. We prove that for certain term orderings, Buchberger's algorithm applied to differential difference systems terminates and produces a Gröbner basis. Therefore, differential-difference algebras provide a new instance of non-commutative graded rings which are effective Gröbner structures

Topics: QA
Year: 2003
DOI identifier: 10.1145/860854.860897
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