Description
For basic information about ideals in
Macaulay2, see
ideals.
Common ways to make an ideal:
Common ways to get information about an ideal:
Common operations on ideals:
Gröbner bases, normal forms, free resolutions
- gb -- compute a Gröbner basis
- leadTerm -- get the greatest term
- codim -- compute the codimension
- dim -- compute the Krull dimension
- Matrix % Ideal -- normal form of ring elements and matrices
- freeResolution -- compute a free resolution of a module or ideal
- betti -- display or modify a Betti diagram
Numeric information about homogeneous ideals
Primary decomposition and components of an ideal
Ideals from geometry
- Fano -- compute the ideal of a Fano scheme in the Grassmannian
- Grassmannian -- compute the ideal of the Grassmannian of linear subspaces of a vector space
- monomialCurveIdeal -- make the ideal of a monomial curve
- singularLocus -- singular locus
Common ways to use an ideal:
An ideal
I is an immutable object, so if you want to cache information about it, put it in the hash table
I.cache.