具有相同素数理想的环对的注释

Pub Date : 2020-05-12 DOI:10.32917/h2021037

Rahul Kumar, A. Gaur

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引用次数: 1

摘要

我们研究了具有相同素数理想集的环扩张R\substeq T，条件是Nil（R）是一个分素数理想。给出了不存在适当含R的T的一些条件，并用理想化理论讨论了实例以加强结果。

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A note on pairs of rings with the same prime ideals

We study the ring extensions R \subseteq T having the same set of prime ideals provided Nil(R) is a divided prime ideal. Some conditions are given under which no such T exist properly containing R. Using idealization theory, the examples are also discussed to strengthen the results.

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