### D.4.31 reesclos_lib

Library:
  reesclos.lib
Purpose:
  procedures to compute the int. closure of an ideal
Author:
  Tobias Hirsch, email: hirsch@math.tu-cottbus.de
  Janko Boehm, email: boehm@mathematik.uni-kl.de
  Magdaleen Marais, email: magdaleen@aims.ac.za

Overview:
  A library to compute the integral closure of an ideal I in a polynomial ring R=k[x(1),...,x(n)] using the Rees Algebra R[It] of I. It computes the integral closure of R[It],
  which is a graded subalgebra of R[t]. The degree-k-component is the integral closure of the k-th power of I.

  In contrast to the previous version, the library uses 'normal.lib' to compute the integral closure of R[It]. This improves the performance considerably.

Procedures:

> D.4.31.1 ReesAlgebra |  | computes the Rees Algebra of an ideal I
> D.4.31.2 normalI |  | computes the integral closure of an ideal I using R[It]

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