Factoring ideals and stability in integral domains

In an integral domain R, a nonzero ideal is called a weakly ES-stable ideal if it can be factored into a product of an invertible ideal and an idempotent ideal of R; and R is called a weakly ES-stable domain if every nonzero ideal is a weakly ES-stable ideal. This paper studies the notion of weakly ES-stability in various contexts of integral domains such as Noetherian and Mori domains, valuation and Prüfer domains, pullbacks and more. In particular, we establish strong connections between this notion and well-known stability conditions, namely, Lipman, Sally-Vasconcelos and Eakin-Sathaye stabilities.