Top
Back: lpIsSemiPrime
Forward: lpGkDim
FastBack:
FastForward:
Up: fpaprops_lib
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document
7.7.9.0. lpIsPrime
Procedure from library fpaprops.lib (see fpaprops_lib).

Usage:
lpIsPrime(G); G an ideal in a Letterplace ring

Return:
boolean

Purpose:
Check whether A/<LM(G)> is prime, that is when p1 * (A/<LM(G)>) * p2 != 0 for all p1, p2 in (A/<LM(G)> - {0}).

Assume:
- basering is a Letterplace ring
- G is a Groebner basis

Theory:
lpIsPrime works with the monomial algebra A/<LM(G)>.
A positive answer holds for both A/<LM(G)> and A/<G>, while a negative answer applies only to A/<LM(G)> and not necessarily to A/<G>.

Example:
 
LIB "fpaprops.lib";
ring r = 0,(x,y),dp;
def R = makeLetterplaceRing(5);
setring R;
ideal G = x(1)*x(2), y(1)*y(2); // K<x,y>/<xx,yy> is prime
lpIsPrime(G);
==> 1


Top Back: lpIsSemiPrime Forward: lpGkDim FastBack: FastForward: Up: fpaprops_lib Top: Singular Manual Contents: Table of Contents Index: Index About: About this document
            User manual for Singular version 4-1-1p3, 2018, generated by texi2html.