Membership problem for differential ideals generated by a composition of polynomials

DOI10.1134/S0361768806030017zbMath1099.13044OpenAlexW1995885856MaRDI QIDQ2433008

A. I. Zobnin, Marina Kondratieva

Publication date: 26 October 2006

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0361768806030017

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Commutative rings of differential operators and their modules (13N10) Rings of differential operators (associative algebraic aspects) (16S32) Differential algebra (12H05)

Related Items (4)

Algorithmic problems for differential polynomial algebras ⋮ Gröbner–Shirshov bases method for Gelfand–Dorfman–Novikov algebras ⋮ Differential standard bases under composition ⋮ Differential algebraic dependence and Novikov dependence

Cites Work

• Computing representations for radicals of finitely generated differential ideals
• Differential Gröbner bases in one variable and in the partial case
• Admissible orderings and finiteness criteria for differential standard bases
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