The Differential Dimension Polynomial for Characterizable Differential Ideals

Markus Lange-Hegermann ()
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Markus Lange-Hegermann: RWTH Aachen University, Lehrstuhl B für Mathematik

A chapter in Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, 2017, pp 443-453 from Springer

Abstract: Abstract We generalize the notion of a differential dimension polynomial of a prime differential ideal to that of a characterizable differential ideal. Its computation is algorithmic, its degree and leading coefficient remain differential birational invariants, and it decides equality of characterizable differential ideals contained in each other.

Keywords: Dimension polynomial; Characterizable ideal; 12H05; 35A01; 35A10; 34G20 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-70566-8_18

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DOI: 10.1007/978-3-319-70566-8_18

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