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Gens
Syntax
Gens(I:IDEAL):LIST
Gens(M:MODULE):LIST
Summary
list of generators of an ideal
Description
This function returns a list of polynomials which generate the ideal
I or the module M. The list is not necessarily minimal. Note that
I.Gens and M.Gens will give the same lists of generators. The
advantage of
Gens
is that its argument can be any expression
evaluating to an ideal or module.
example
Use R ::= Q[x,y];
I := Ideal(y^2-x^3,xy);
Gens(I);
[-x^3 + y^2, xy]
-------------------------------
I.Gens;
[-x^3 + y^2, xy]
-------------------------------
Gens(I^2);
[x^6 - 2x^3y^2 + y^4, -x^4y + xy^3, x^2y^2]
-------------------------------
See Also