H-bases and lifting problem for homogeneous ideals

E. Yilmaz, S. Cansu

The lifting problem for homogeneous ideals in a polynomial ring over a field is studied. A division algorithm for H-bases is given. Using this division algorithm, a new method for finding the liftings of a homogeneous ideal is developed. This method was compared with the current methods. The results are demonstrated with examples. 

Tbilisi Mathematical Journal, Special Issue (IECMSA-2019), pp. 49-58