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One-element differential standard bases with respect to inverse lexicographical orderings
Authors:A I Zobnin
Institution:1.Moscow State University,Moscow,Russia
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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