Approximation property (ring theory)

In algebra, a commutative Noetherian ring A is said to have the approximation property with respect to an ideal I if each finite system of polynomial equations with coefficients in A has a solution in A if and only if it has a solution in the I-adic completion of A.[1][2] The notion of the approximation property is due to Michael Artin.

  1. ^ Cite error: The named reference rotthaus was invoked but never defined (see the help page).
  2. ^ Cite error: The named reference stacks was invoked but never defined (see the help page).