Isomorphisms of finite cylindric set algebras of
characteristic zero
The basic result of cylindric algebraic model theory according
to which
any pair of isomorphic finite dimensional cylindric set algebras of
positive characteristic are base isomorphic (J.D. Monk) is an
algebraic generalization of the elementary model
theoretical fact to the
effect that any two elementary equivalent finite models are
isomorphic. In this paper, this algebraic generalization is extended
further in a natural way to some algebras of characteristic zero.
Moreover, it is shown that no further improvement is possible in
any obvious way.