2
$\begingroup$

Where I could see the following statement?

Let $K\subset L\subset M$ be a tower of the strongly normal extensions of differential fields. If $M$ is weakly normal over $K$, then $M$ is strongly normal over $K$.

Improve this question
$\endgroup$

1 Answer 1

Reset to default
4
$\begingroup$

It is not true. See the example in my paper Algebraic D-groups and differential galois theory, Pacific Journal Math, vol 216, No. 2, 2004. It is discussed on p. 356.

Improve this answer
$\endgroup$
1
  • $\begingroup$ Thank you for counterexample professor Pillay. I have read the above statement many years ago and do not remember where. So, apparently, I missed some important condition of context. Maybe $K$ must be finitely generated and finite transcendence degree over the constants. $\endgroup$
    – user75594
    Commented Jul 1, 2015 at 17:31

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .