Differential standard bases under composition |
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Authors: | A I Zobnin |
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Institution: | (1) Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia |
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Abstract: | We generalize Hoon Hong’s theorem on Gröbner bases under composition to the case of differential standard bases in the ordinary ring of differential polynomials {ie4152-01}. In particular, we prove that some ideals have finite differential standard bases. We construct special orderings on differential monomials such that ideals generated by some power of a quasi-linear polynomial acquire finite differential standard bases. |
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