On rings stable under derivations

Wed, 16/12/2015 - 10:30
Speaker: 
Seminar: 
Place: 
Abstract: 

Let z be an algebraic function of n variables and A(z) the algebra generated by all variables and all  partial derivatives of z (of all orders). If z is a polynomial then A(z) is just a polynomial algebra,  but when z is not a polynomial then it is not clear what is the structure of this algebra. I'll report on known cases and formulate a conjecture.