On Tuesday 19 October 2010, deryk lv wrote:
> Hi,everyone,
> I am just wondering whether radical ideal computation in Sage is making use
> of Singular on backend.

Yes.

The note in the docstring might be a bit cryptic but it is there (type 
"I.radical?")

"""
Note: From the Singular manual: A combination of the algorithms of
         Krick/Logar and Kemper is used. Works also in positive
         characteristic (Kempers algorithm).
"""

Also see the source code (type "I.radical??")

    import sage.libs.singular
    radical = sage.libs.singular.ff.primdec__lib.radical
    r = radical(self)


Martin

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