A Schreier domain type condition II
  For an integral domain D and a star operation * on D, we study the following condition: whenever I>AB with I, A, B nonzero ideals, there exist nonzero ideals H and J such that I*=(HJ)*, H*>A and J*>B. 
Zaheer Ahmad, Tiberiu Dumitrescu and Mihai Epure
math.AC