Normalization of Rings
Commutative Algebra
2010-06-08 v3
Abstract
We present a new algorithm to compute the integral closure of a reduced Noetherian ring in its total ring of fractions. A modification, applicable in positive characteristic, where actually all computations are over the original ring, is also described. The new algorithm of this paper has been implemented in Singular, for localizations of affine rings with respect to arbitrary monomial orderings. Benchmark tests show that it is in general much faster than any other implementation of normalization algorithms known to us.
Cite
@article{arxiv.0904.3561,
title = {Normalization of Rings},
author = {Gert-Martin Greuel and Santiago Laplagne and Frank Seelisch},
journal= {arXiv preprint arXiv:0904.3561},
year = {2010}
}
Comments
Final version, to be published in JSC 2010