Details:
Title  Differential standard bases under composition.  Author(s)  Alexy I. Zobnin  Type  Article in Journal  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 {ie415201}. 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 quasilinear polynomial acquire finite differential standard bases.  ISSN  10723374; 15738795/e 
URL 
http://link.springer.com/article/10.1007%2Fs1095800890809 
Language  English  Journal  J. Math. Sci., New York  Volume  152  Number  4  Pages  522539  Publisher  Springer US, New York, NY  Year  2008  Edition  0  Translation 
No  Refereed 
No 
