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HColon

ideal or module quotient

Syntax
HColon(M:IDEAL,N:IDEAL):IDEAL

Description
The function Colon returns the quotient of M by N: the ideal of all polynomials F such that F*G is in M for all G in N.

This function computes the same ideal using a Hilbert-driven algorithm. It differs from Colon only when the input is non-homogeneous, in which case, HColon may be faster.

Example
Use R ::= Q[x,y];
Ideal(xy,x^2) : Ideal(x);
Ideal(y, x)
-------------------------------
Colon(Ideal(x^2,xy), Ideal(x,x-y^2));
Ideal(x)
-------------------------------
HColon(Ideal(x^2,xy), Ideal(x,x-y^2));
Ideal(x)
------------------------------- 


See Also