A modified LLL algorithm for change of ordering of Grobner basis

Document Type : Research Paper


School of Mathematics and Computer Science, Damghan University, Damghan, Iran


In this paper, a modified version of LLL algorithm, which is a an algorithm with output-sensitive complexity, is presented to convert a given Grobner basis with respect to a specific order of a polynomial ideal I in arbitrary dimensions to a Grobner basis of I with respect to another term order. Also a comparison with the FGLM conversion and Buchberger method is considered.


  • Receive Date: 21 May 2012
  • Revise Date: 11 January 2013
  • Accept Date: 20 January 2013