2006Programming and Computer SoftwareRequires access

Membership problem for differential ideals generated by a composition of polynomials

M. V. Kondratieva, A. I. Zobnin

Open publisher page 4 citations

Abstract

The question of whether a polynomial belongs to a finitely generated differential ideal remains open. This problem is solved only in some particular cases. In the paper, we propose a method, which reduces the test of membership for fractional ideals generated by a composition of differential polynomials to another, simpler, membership problem.

About this research paper

What this paper is about

The question of whether a polynomial belongs to a finitely generated differential ideal remains open. This problem is solved only in some particular cases. In the paper, we propose a method, which reduces the test of membership for fractional ideals generated by a composition of differential polynomials to another, simpler, membership problem.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The question of whether a polynomial belongs to a finitely generated differential ideal remains open. This problem is solved only in some particular cases. In the paper, we propose a method, which reduces the test of membership for fractional ideals generated by a composition of differential polynomials to another, simpler, membership problem.

Key concepts: Mathematics, Composition (language), Differential (mechanical device), Ideal (ethics), Polynomial, Pure mathematics, Discrete mathematics, Mathematical analysis

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