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학술저널

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

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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.

1. Introduction

2. Main results

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