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An Equivalence Theorem For Regular Differential Chains

Abstract : This paper provides new equivalence theorems for regular chains and regular differential chains, which are generalizations of Ritt's characteristic sets. These theorems focus on regularity properties of elements of residue class rings defined by these chains, which are revealed by resultant computations. New corollaries to these theorems have quite simple formulations.
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https://hal.archives-ouvertes.fr/hal-01391768
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Submitted on : Friday, January 26, 2018 - 5:21:53 PM
Last modification on : Friday, January 21, 2022 - 3:12:51 AM
Long-term archiving on: : Friday, May 25, 2018 - 12:06:57 PM

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François Boulier, François Lemaire, Adrien Poteaux, Marc Moreno Maza. An Equivalence Theorem For Regular Differential Chains. Journal of Symbolic Computation, Elsevier, In press, 93, pp.34-55. ⟨10.1016/j.jsc.2018.04.011⟩. ⟨hal-01391768v3⟩

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