Hi, 

I'm not sure whether this is a bug or not, but the kernel of a ring 
homomorphism to a quotient ring gives unexpected results:

A.<t> = QQ[] 
B.<x,y> = QQ[] 
H = B.quotient(B.ideal([B.1])) 
f = A.hom([H.0], H) 
f 
f.kernel()

outputs:
Ring morphism: From: Univariate Polynomial Ring in t over Rational Field 
To: Quotient of Multivariate Polynomial Ring in x, y over Rational Field by 
the ideal (y) Defn: t |--> xbar 
Principal ideal (t) of Univariate Polynomial Ring in t over Rational Field

whereas the kernel of f:A[t]->B[x,y]->B[x,y]/(y), for f(t)=x should be (0).

Is this a bug?
Thanks,
Akos

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