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Published in:
2011 | OriginalPaper | Chapter
On the Regularity Property of Differential Polynomials Modulo Regular Differential Chains
Authors : François Boulier, François Lemaire, Alexandre Sedoglavic
Published in: Computer Algebra in Scientific Computing
Publisher: Springer Berlin Heidelberg
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This paper provides an algorithm which computes the normal form of a rational differential fraction modulo a regular differential chain if, and only if, this normal form exists. A regularity test for polynomials modulo regular chains is revisited in the nondifferential setting and lifted to differential algebra. A new characterization of regular chains is provided.