GroebnerBasis -- the class of all Groebner bases

GroebnerBasis -- the class of all Groebner bases

The type GroebnerBasis is a member of the class Type. Each object of class GroebnerBasis is called a Groebner basis. Each Groebner basis is also a member of class MutableHashTable.

More general types (whose methods may also apply) :

MutableHashTable -- the class of all mutable hash tables

HashTable -- the class of all hash tables

A Groebner basis in Macaulay 2 consists of a Groebner basis computation, and several associated matrices. Normally you don't need to refer to these objects directly, as many operations on matrices and modules create them, and refer to them. For more information, see Groebner bases or computing Groebner bases.

Functions and methods returning a a Groebner basis :

forceGB -- declare that the columns of a matrix are a Groebner basis

forceGB Matrix

gb -- compute a Groebner basis

gb Ideal

gb Matrix

gb Module

Methods for using a Groebner basis :

betti GroebnerBasis -- display of the degrees of a groebner basis

generators GroebnerBasis -- the Groebner basis matrix

getChangeMatrix GroebnerBasis

GroebnerBasis == GroebnerBasis