Commutative reduced filial rings

A ring \(R\) is filial when for every \(I\), \(J\), if \(I\) is an ideal of \(J\) and \(J\) is an ideal of \(R\) then \(I\) is an ideal of \(R\). Several characterizations and results on structure of commutative reduced filial rings are obtained.

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Bibliographic Details
Date:2018
Main Authors: Andruszkiewicz, Ryszard R., Sobolewska, Magdalena
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/854
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Journal Title:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics