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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Bibliographic Details
Date:2021
Main Author: Tchamna, S.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2021
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1424
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics