论文标题

成对的戒指上的注释,具有相同的理想

A note on pairs of rings with same prime ideals

论文作者

Kumar, Rahul, Gaur, Atul

论文摘要

我们研究具有相同质量理想的环r \ subseteq t,前提是nil(r)是一个划分的素数理想。在某些条件下,没有适当地包含R。使用理想化理论,还讨论了示例以加强结果。

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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