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Abstract: We present a new algorithm to compute the integral closure of a reducedNoetherian ring in its total ring of fractions. A modification, applicable inpositive characteristic, where actually all computations are over the originalring, is also described. The new algorithm of this paper has been implementedin Singular, for localizations of affine rings with respect to arbitrarymonomial orderings. Benchmark tests show that it is in general much faster thanany other implementation of normalization algorithms known to us.

Autor: Gert-Martin Greuel, Santiago Laplagne, Frank Seelisch


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