> that's what i expect from the term 'reduction' anyway

reduce is defined as:
            
           Reduce an element modulo the reduced Groebner basis for this
            ideal. This returns 0 if and only if the element is in this
            ideal. In any case, this reduction is unique up to monomial
            orders.

See J.reduce?

> So if this is a bug i'll give you more details.

>From what you've provided it is hard to tell. Could you provide a small 
reproducible example? I know you said its hard to do but without it, it will 
be difficult to help you.

Here are my attempts:

sage: P.<y9,y12,y13,y15> = PolynomialRing(CyclotomicField(3))
sage: J.reduce(y13 + y9 - y12)
(-2)*y12 + y13
sage: J.reduce(y13*y15 + y9 - y12)
y13*y15 + (-2)*y12
sage: J.reduce(y9 - y12)
(-2)*y12

Cheers,
Martin

-- 
name: Martin Albrecht
_pgp: http://pgp.mit.edu:11371/pks/lookup?op=get&search=0x8EF0DC99
_www: http://www.informatik.uni-bremen.de/~malb
_jab: [EMAIL PROTECTED]


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