Ring Extensions with Finitely Many Non-Artinian Intermediate Rings

Noômen Jarboui; Naseam Al-Kuleab; Omar Almallah

doi:10.1155/2020/7416893

Journal of Mathematics (Jan 2020)

Ring Extensions with Finitely Many Non-Artinian Intermediate Rings

Noômen Jarboui,
Naseam Al-Kuleab,
Omar Almallah

Affiliations

Noômen Jarboui: Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia
Naseam Al-Kuleab: Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia
Omar Almallah: Al-Balqa University, Amman, Jordan

DOI: https://doi.org/10.1155/2020/7416893
Journal volume & issue: Vol. 2020

Abstract

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The commutative ring extensions with exactly two non-Artinian intermediate rings are characterized. An initial step involves the description of the commutative ring extensions with only one non-Artinian intermediate ring.

Published in Journal of Mathematics

ISSN: 2314-4629 (Print); 2314-4785 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/1469

About the journal