  Absolute integral closures of general commutative unital rings are explored.
All rings admit absolute integral closures, but in general they are not unique.
Among the reduced rings with finitely many minimal prime ideals, finite
products of domains are the only rings for which they are unique. Arguments
using model theory suggest that the same holds for all infinite rings that are
finite products of connected rings. Universal absolute integral closures, which
contain every aic of a given ring, are shown to exist for certain subrings of
products of domains.
