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NFsAreZero

test if normal forms are zero

Syntax
NFsAreZero(L:LIST of POLY,M IDEAL):BOOL
NFsAreZero(L:LIST of VECTOR,M:MODULE):BOOL

Description
This function returns TRUE if each component of L has normal form 0 with respect to M, i.e., if each component is an element of M. Otherwise, it returns FALSE. The coefficient ring is assumed to be a field.

Example
Use S ::= Q[t,x,y,z];
I := Ideal(t^31-t^6-x, t^8-y, t^10-z);
F := y^5-z^4;
G := (t^8-y)(3F+t^10-z);
NFsAreZero([F,G],I);   -- F and G are in I
TRUE
-------------------------------
NFsAreZero([F,x,G],I); -- x is not in I
FALSE
------------------------------- 


See Also