On locally divided integral domains and CPI‐overrings
On locally divided integral domains and CPI‐overrings
It is proved that an integral domain R is locally divided if and only if each CPI‐extension of ℬ (in the sense of Boisen and Sheldon) is R ‐flat (equivalently, if and only if each CPI‐extension of R is a localization of R ). Thus, each CPI‐extension of a locally …