Singular Manual: is_irred

| #### D.6.15.11 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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