Abstract This paper contributes to the study of the core of ideals in Noetherian rings. We use techniques and objects from multiplicative ideal theory to develop explicit formulas for the core in various classes of one-dimensional Noetherian domains. All results are illustrated with original examples, where we explicitly compute the core.

中文翻译：

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一维诺特域中的理想核心

摘要 本文有助于研究诺特环的理想核。我们使用乘法理想理论中的技术和对象来为各类一维诺特域中的核心开发明确的公式。所有结果都用原始示例进行了说明，其中我们明确地计算了核心。