Details:
Title  Oneelement differential standard bases with respect to inverse lexicographical orderings.  Author(s)  Alexy I. Zobnin  Type  Article in Journal  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 .  ISSN  10723374; 15738795/e 
URL 
http://link.springer.com/article/10.1007%2Fs109580099690x 
Language  English  Journal  J. Math. Sci., New York  Volume  163  Number  5  Pages  523533  Publisher  Springer US, New York, NY  Year  2009  Edition  0  Translation 
No  Refereed 
No 
