Macaulay2 » Documentation
Packages » Normaliz :: normalToricRing(List)
next | previous | forward | backward | up | index | toc

# normalToricRing(List) -- normalization of a toric ring

- Function: normalToricRing
- Usage:
    `normalToricRing L`
- Inputs:
  - a list, the generators of the toric ring
- Optional inputs:
  - allComputations (missing documentation) => ..., default value false,
  - grading (missing documentation) => ..., default value {},
- Outputs:
  - a monomial subalgebra, the normalization of the toric ring

## Description

The toric ring S is the monomial subalgebra of the basering generated by the monomials in the list L. The function computes the normalization T of S, which is the integral closure in its field of fractions.

    i1 : R=ZZ/37[x,y,t];

    i2 : L={x^3, x^2*y, y^3, x*y^2};

    i3 : normalToricRing L

    o3 = MonomialSubalgebra{cache => CacheTable{...1...}     }
                                            3     2   2    3
                            generators => {y , x*y , x y, x }
                            ring => R

    o3 : MonomialSubalgebra of R

## Ways to use this method:

- normalToricRing(List) -- normalization of a toric ring

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/Normaliz.m2:1486:0.