An equivalence theorem for regular differential chains

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 com...

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Bibliographic Details
Published in:Journal of symbolic computation 2019-07, Vol.93, p.34-55
Main Authors: Boulier, François, Lemaire, François, Poteaux, Adrien, Moreno Maza, Marc
Format: Article
Language:English
Subjects:
Characteristic set
Computer Science
Differential algebra
Regular chain
Regularity
Resultant
Symbolic Computation
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Summary: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.
ISSN:0747-7171
1095-855X
DOI:10.1016/j.jsc.2018.04.011