A NOTE ON QUASI-∗-INVERTIBLE AND ∗-INVERTIBLE IDEALS

Abstract

Let ∗ be a star-operation on an integral domain R. We show that if R is a ∗w-Noetherian domain, then quasi-∗w-invertible prime ∗w-ideals of R are minimal, and prime ideals of R minimal over a ∗w-invertible ∗w-ideal are minimal.

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