Singular

D.4.15 monomialideal_lib

Library:

monomialideal.lib

Purpose:

Primary and irreducible decompositions of monomial ideals

Authors:

I.Bermejo, ibermejo@ull.es
E.Garcia-Llorente, evgarcia@ull.es
Ph.Gimenez, pgimenez@agt.uva.es

Overview:

A library for computing a primary and the irreducible decompositions of a monomial ideal using several methods.
In this library we also take advantage of the fact that the ideal is monomial to make some computations that are Grobner free in this case (radical, intersection, quotient...).

Procedures:

D.4.15.1 isMonomial		checks whether an ideal id is monomial
D.4.15.2 minbaseMon		computes the minimal monomial generating set of a monomial ideal id
D.4.15.3 gcdMon		computes the gcd of two monomials f, g
D.4.15.4 lcmMon		computes the lcm of two monomials f, g
D.4.15.5 membershipMon		checks whether a polynomial f belongs to a monomial ideal id
D.4.15.6 intersectMon		intersection of monomial ideals id1 and id2
D.4.15.7 quotientMon		quotient ideal id1:id2
D.4.15.8 radicalMon		computes the radical of a monomial ideal id
D.4.15.9 isprimeMon		checks whether a monomial ideal id is prime
D.4.15.10 isprimaryMon		checks whether a monomial ideal id is primary
D.4.15.11 isirreducibleMon		checks whether a monomial ideal id is irreducible
D.4.15.12 isartinianMon		checks whether a monomial ideal id is artininan
D.4.15.13 isgenericMon		checks whether a monomial ideal id is generic
D.4.15.14 dimMon		dimension of a monomial ideal id
D.4.15.15 irreddecMon		computes the irreducible decomposition of a monomial ideal id
D.4.15.16 primdecMon		computes a minimal primary decomposition of a monomial ideal id