ABSTRACT

Let R be an integral domain. An nonzero ideal I of R is said to be m-canonical if (I : (I : J)) = J for each nonzero ideal J of R. When R is a certain pullback of a valuation domain, we characterize when R has a finitely generated m‐canonical ideal. We also study when nondivisorial ideals in a Prüfer domain R have LQ‐factorizations,” where L is an ideal of R which is invertible (or merely divisorial) and Q is a product of maximal ideals.