Divided domain

In algebra, a divided domain is an integral domain R in which every prime ideal $$\mathfrak{p}$$ satisfies $$\mathfrak{p} = \mathfrak{p} R_\mathfrak{p}$$. A locally divided domain is an integral domain that is a divided domain at every maximal ideal. A Prüfer domain is a basic example of a locally divided domain. Divided domains were introduced by who called them AV-domains.