Stefania Gabelli, Moshe Roitman. Source: Journal of Commutative Algebra, Volume 12, Number 2, 179--198.Abstract:
Among other results, we prove the following:

A locally Archimedean stable domain satisfies accp.
A stable domain
R
is Archimedean if and only if every nonunit of
R
belongs to a height-one prime ideal of the integral closure

R

′

of
R
in its quotient field (this result is related to Ohm’s theorem for Prüfer domains).
An Archimedean stable domain
R
is one-dimensional if and only if

R

′

is equidimensional (generally, an Archimedean stable local domain is not necessarily
one-dimensional).
An Archimedean finitely stable semilocal domain with stable maximal ideals is locally
Archimedean, but generally, neither Archimedean stable domains, nor Archimedean semilocal
domains are necessarily locally Archimedean.