Membership problem for differential ideals generated by a composition of polynomials
M. V. Kondratieva, A. I. Zobnin
Abstract
M. V. Kondratieva, A. I. Zobnin
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.
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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