Cancellation ideals of a ring extension

• Date: 2021
• Main Author: Tchamna, S.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2021
• Subjects: ring extension; cancellation ideal; pullback diagram; 13A15; 13A18; 13B02
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1424
• Journal Title: Algebra and Discrete Mathematics

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...