Normalization of Rings

Details Normalization of Rings Normalization of Rings

2009-04-22

arxiv.org/abs/0904.3561v3

Mathematics

Commutative Algebra

Final version, to be published in JSC 2010

Scientific paper

10.1016/j.jsc.2010.04.002

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.

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