English

F4 Algorithm For Euclidean Rings

Commutative Algebra 2010-06-09 v1

Abstract

This short note is the generalization of Faugere F4-algorithm for polynomial rings with coefficients in Euclidean rings. This algorithm computes successively a Groebner basis replacing the reduction of one single s-polynomial in Buchberger's algorithm by the simultaneous reduction of several polynomials.

Keywords

Cite

@article{arxiv.1006.1456,
  title  = {F4 Algorithm For Euclidean Rings},
  author = {Afshan Sadiq},
  journal= {arXiv preprint arXiv:1006.1456},
  year   = {2010}
}
R2 v1 2026-06-21T15:33:13.054Z