English

Standard Bases over Rings

Commutative Algebra 2009-10-07 v1

Abstract

The theory of standard bases in polynomial rings with coefficients in a ring R with respect to local orderings is developed. R is a commutative Noetherian ring with 1 and we assume that linear equations are solvable in R.

Keywords

Cite

@article{arxiv.0910.0970,
  title  = {Standard Bases over Rings},
  author = {Afshan Sadiq},
  journal= {arXiv preprint arXiv:0910.0970},
  year   = {2009}
}

Comments

22 pages

R2 v1 2026-06-21T13:54:38.421Z