Strongly primary ideals

Let R be an integral domain with quotient field K. A prime ideal P of R is called strongly prime if x, y is an element of K and xy is an element of P imply that x is an element of P or y is an element of P. As an analog of strongly prime, an ideal Q of R is called strongly primary if whenever x, y is an element of K, xy is an element of Q, and x is not an element of Q, then y(n) is an element of Q for some positive integer n. In this chapter, we study some properties of integral domains containing a strongly primary ideal.