MonomialIdeal -- the class of all monomial ideals handled by the engine

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MonomialIdeal -- the class of all monomial ideals handled by the engine

The type MonomialIdeal is a member of the class Type. Each object of class MonomialIdeal is called a monomial ideal. Each monomial ideal 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

See also:

Functions and methods returning a a monomial ideal :

borel MonomialIdeal

minprimes MonomialIdeal

MonomialIdeal * MonomialIdeal

MonomialIdeal + MonomialIdeal

MonomialIdeal : MonomialIdeal

MonomialIdeal ^ ZZ

monomialIdeal -- make a monomial ideal

monomialIdeal {...} -- make a monomial ideal

monomialIdeal Ideal -- make a monomial ideal

monomialIdeal Matrix -- make a monomial ideal

monomialIdeal Module

monomialIdeal QQ

monomialIdeal Ring

monomialIdeal RingElement

monomialIdeal ZZ

radical MonomialIdeal

RingElement * MonomialIdeal

saturate(MonomialIdeal,MonomialIdeal)

ZZ * MonomialIdeal

Methods for using a monomial ideal :

ass MonomialIdeal

betti MonomialIdeal

codim MonomialIdeal

degree MonomialIdeal

dim MonomialIdeal

dual MonomialIdeal -- the Alexander dual of a monomial ideal

dual(MonomialIdeal,{...}) -- the Alexander dual

dual(MonomialIdeal,RingElement) -- the Alexander dual

expression MonomialIdeal

generators MonomialIdeal

Ideal * MonomialIdeal

Ideal + MonomialIdeal

Ideal == MonomialIdeal

ideal MonomialIdeal

isBorel MonomialIdeal

isMonomialIdeal MonomialIdeal

isSquareFree MonomialIdeal -- whether a monomial ideal is square free

jacobian MonomialIdeal

Matrix % MonomialIdeal

Matrix // MonomialIdeal

module MonomialIdeal

MonomialIdeal * Ideal

MonomialIdeal * Module

MonomialIdeal * Ring

MonomialIdeal + Ideal

MonomialIdeal == Ideal

MonomialIdeal == MonomialIdeal

MonomialIdeal == Ring

MonomialIdeal == ZZ

MonomialIdeal _ ZZ

monomialIdeal MonomialIdeal -- make a monomial ideal

net MonomialIdeal

numgens MonomialIdeal

poincare MonomialIdeal

primaryDecomposition MonomialIdeal

resolution MonomialIdeal

Ring * MonomialIdeal

Ring / MonomialIdeal

Ring == MonomialIdeal

ring MonomialIdeal

RingElement % MonomialIdeal

RingElement // MonomialIdeal

standardPairs MonomialIdeal -- finds the standard pairs of a monomial ideal

standardPairs(MonomialIdeal,List)

toString MonomialIdeal

ZZ % MonomialIdeal

ZZ // MonomialIdeal

ZZ == MonomialIdeal

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