Abstract
Let R be an integral domain with quotient field K and f(x) a polynomial of positive degree in K[x]. In this paper we develop a method for studying almost principal uppers to zero ideals. More precisely, we prove that uppers to zero divisorial ideals of the form I = f(x)K[x] ∩ R[x] are almost principal in the following two cases: J, the ideal generated by the leading coefficients of I, satisfies J−1 = R. I−1 as the R[x]-submodule of K(x) is of finite type.
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