Cancellation ideals of a ring extension
We study properties of cancellation ideals of ring extensions. Let \(R \subseteq S\) be a ring extension. A nonzero \(S\)-regular ideal \(I\) of \(R\) is called a (quasi)-cancellation ideal of the ring extension \(R \subseteq S\) if whenever \(IB = IC\) for two \(S\)-regular (finitely generated) \(R...
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Date: | 2021 |
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Main Author: | |
Format: | Article |
Language: | English |
Published: |
Lugansk National Taras Shevchenko University
2021
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Subjects: | |
Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1424 |
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Journal Title: | Algebra and Discrete Mathematics |