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2014-01-18 09:24:59 +0200 commented answer Mysterious behavior for quotient rings and cover()

I guess when I wrote that I didn't understand it, I really meant: how can it be acceptable that a polynomial ring in one variable is not an instance of a polynomial ring in n variables?

2014-01-18 09:07:36 +0200 received badge  Student (source)
2014-01-18 08:49:36 +0200 asked a question Mysterious behavior for quotient rings and cover()

I don't understand this:

R.<T,U>=PolynomialRing(QQ)
Q=R.quo((T^2)) 
pi=Q.cover() 
pi(T)

-- returns Tbar

However:

R.<T>=PolynomialRing(QQ)
Q=R.quo((T^2))
pi=Q.cover()
pi(T)

-- returns an error.