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D.6.11.11 is_irred
Procedure from library hnoether.lib (see hnoether_lib).
- Usage:
- is_irred(f); f poly
- Assume:
- f is a squarefree bivariate polynomial (in the first 2 ring
variables).
- Return:
- int (0 or 1):
- is_irred(f)=1 if f is irreducible as a formal power
series over the algebraic closure of its coefficient field (f
defines an analytically irreducible curve at zero),
- is_irred(f)=0 otherwise.
- Note:
- 0 and units in the ring of formal power series are considered to be
not irreducible.
Example:
| | LIB "hnoether.lib";
ring exring=0,(x,y),ls;
is_irred(x2+y3);
==> 1
is_irred(x2+y2);
==> 0
is_irred(x2+y3+1);
==> 0
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