Home Online Manual
Top
Back: fpaprops_lib
Forward: lpIsSemiPrime
FastBack:
FastForward:
Up: fpaprops_lib
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document
7.7.8.0. lpNoetherian
Procedure from library fpaprops.lib (see fpaprops_lib).

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

Return:
int
0 not noetherian
1 left noetherian
2 right noetherian
3 noetherian

Purpose:
Check whether R/<G> is (left/right) noetherian, where R is the basering

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

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