Ring Extensions with Finitely Many Non-Artinian Intermediate Rings

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.

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Main Authors: Noômen Jarboui, Naseam Al-Kuleab, Omar Almallah
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2020/7416893
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author Noômen Jarboui
Naseam Al-Kuleab
Omar Almallah
author_facet Noômen Jarboui
Naseam Al-Kuleab
Omar Almallah
author_sort Noômen Jarboui
collection DOAJ
description 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.
format Article
id doaj-art-640fda54c2db43e08254fec40a89865c
institution Kabale University
issn 2314-4629
2314-4785
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-640fda54c2db43e08254fec40a89865c2025-08-20T03:34:25ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/74168937416893Ring Extensions with Finitely Many Non-Artinian Intermediate RingsNoômen Jarboui0Naseam Al-Kuleab1Omar Almallah2Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi ArabiaAl-Balqa University, Amman, JordanThe 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.http://dx.doi.org/10.1155/2020/7416893
spellingShingle Noômen Jarboui
Naseam Al-Kuleab
Omar Almallah
Ring Extensions with Finitely Many Non-Artinian Intermediate Rings
Journal of Mathematics
title Ring Extensions with Finitely Many Non-Artinian Intermediate Rings
title_full Ring Extensions with Finitely Many Non-Artinian Intermediate Rings
title_fullStr Ring Extensions with Finitely Many Non-Artinian Intermediate Rings
title_full_unstemmed Ring Extensions with Finitely Many Non-Artinian Intermediate Rings
title_short Ring Extensions with Finitely Many Non-Artinian Intermediate Rings
title_sort ring extensions with finitely many non artinian intermediate rings
url http://dx.doi.org/10.1155/2020/7416893
work_keys_str_mv AT noomenjarboui ringextensionswithfinitelymanynonartinianintermediaterings
AT naseamalkuleab ringextensionswithfinitelymanynonartinianintermediaterings
AT omaralmallah ringextensionswithfinitelymanynonartinianintermediaterings