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Characteristic set method for differential–difference polynomial systems

Characteristic set method for differential-difference polynomial systems
descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2009 English Publisher:Elsevier BVJournal:Journal of Symbolic Computation, volume 44, pages 1,137-1,163 (issn: 0747-7171, Copyright policy )
Authors: Xiao-Shan Gao; Joris van der Hoeven; Chun-Ming Yuan; Gui-Lin Zhang;

doi: 10.1016/j.jsc.2008.02.010

Characteristic set method for differential–difference polynomial systems

Abstract

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Keywords

Computational aspects and applications of commutative rings, Characteristic set, Algebra and Number Theory, characteristic set, Irreducible ascending chain, Regular ascending chain, perfect ideal membership problem, Symbolic computation and algebraic computation, Derivations and commutative rings, differential and difference polynomial, zero decomposition algorithm, Zero decomposition algorithm, Computational Mathematics, Perfect ideal membership problem, irreducible ascending chain, regular ascending chain, Differential and difference polynomial

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
23
Top 10%
Top 10%
Top 10%
hybrid