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setMaxIdeal -- set the maximal ideal for local ring methods

Usage:

setMaxIdeal I
Inputs:
- I, an ideal, a maximal ideal of the ring R
Outputs:
- an ideal, same ideal as input

Description

The function adds new structure to the ring which specifies a maximal ideal which allows the user to employ local ring methods.

i1 : R = ZZ/32003[x,y,z,w,SkewCommutative=>true]

o1 = R

o1 : PolynomialRing, 4 skew commutative variable(s)

i2 : setMaxIdeal(ideal(x,y,z,w))

o2 = ideal (x, y, z, w)

o2 : Ideal of R

See also

localComplement -- find the splitting of the target of a map
localsyz -- find syzygies
localMingens -- finds a minimal set of generators
localModulo -- find the pre-image (pullback) of image of a map over a local ring
localPrune -- find a minimal presentation
localResolution -- find a resolution over a local ring
residueMap -- The class of all local rings
maxIdeal -- The class of all local rings

Ways to use setMaxIdeal:

setMaxIdeal(Ideal)

For the programmer

The object setMaxIdeal is a method function.

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/LocalRings/legacy.m2:156:0.