One-element differential standard bases with respect to inverse lexicographical orderings |
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Authors: | A I Zobnin |
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Institution: | 1.Moscow State University,Moscow,Russia |
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Abstract: | We give a simplified proof of the following fact: for all nonnegative integers n and d the monomial y n d forms a differential standard basis of the ideal y n d ]. In contrast to Levi’s combinatorial proof, in this proof we use the Gröbner bases technique. Under some assumptions we prove the converse result: if an isobaric polynomial f forms a differential standard basis of f], then f = y n d . |
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