Among other results, we prove the following:
A locally Archimedean stable domain satisfies accp.
A stable domain is Archimedean if and only if every nonunit of belongs to a height-one prime ideal of the integral closure of in its quotient field (this result is related to Ohm’s theorem for Prüfer domains).
An Archimedean stable domain is one-dimensional if and only if 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.
"On finitely stable domains, II." J. Commut. Algebra 12 (2) 179 - 198, Summer 2020. https://doi.org/10.1216/jca.2020.12.179