In algebra, a divided domain is an integral domain R in which every prime ideal p {\displaystyle {\mathfrak {p}}} satisfies p = p R p {\displaystyle {\mathfrak {p}}={\mathfrak {p}}R_{\mathfrak {p}}} . A locally divided domain is an integral domain that is a divided domain at every maximal ideal.
In algebra, a divided domain is an integral domain R in which every prime ideal p {\displaystyle {\mathfrak {p}}} satisfies p = p R p {\displaystyle {\mathfrak {p}}={\mathfrak {p}}R_{\mathfrak {p}}} . A locally divided domain is an integral domain that is a divided domain at every maximal ideal.
Source: Wikipedia "Divided domain" · CC BY-SA 4.0
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