Membership problem for differential ideals generated by a composition of polynomials

ArticleinProgramming and Computer Software 32(3):123-127 · April 2006with9 Reads
Impact Factor: 0.19 · DOI: 10.1134/S0361768806030017 · Source: DBLP

    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.