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D.6.15.18 squarefree
Procedure from library hnoether.lib (see hnoether_lib).
- Usage:
- squarefree(f); f poly
- Assume:
- f is a bivariate polynomial (in the first 2 ring variables).
- Return:
- poly, a squarefree divisor of f.
- Note:
- Usually, the return value is the greatest squarefree divisor, but
there is one exception: factors with a p-th root, p the
characteristic of the basering, are lost.
Example:
| | LIB "hnoether.lib";
ring exring=3,(x,y),dp;
squarefree((x3+y)^2);
==> x3+y
squarefree((x+y)^3*(x-y)^2); // Warning: (x+y)^3 is lost
==> x-y
squarefree((x+y)^4*(x-y)^2); // result is (x+y)*(x-y)
==> x2-y2
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See also:
allsquarefree.
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