{"id":3165,"date":"2026-07-16T21:21:05","date_gmt":"2026-07-16T21:21:05","guid":{"rendered":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/?page_id=3165"},"modified":"2026-07-18T20:36:35","modified_gmt":"2026-07-18T20:36:35","slug":"on-j-noetherian-modules-and-j-coherent-modules","status":"publish","type":"page","link":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/on-j-noetherian-modules-and-j-coherent-modules\/","title":{"rendered":"On J-Noetherian modules and J-coherent modules"},"content":{"rendered":"\n
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Moroccan Journal of Algebra and Geometry with Applications<\/strong><\/p>\n\n\n\n

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On J-Noetherian modules and J-coherent modules<\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

Younes El Haddaoui\\,^1<\/span> and Hwankoo Kim<\/strong>\\,^2<\/span><\/i>
\\,^{1}<\/span> Department of Mathematics, Faculty of Science and Technology, Fez, Morocco.
\\,^{2}<\/span> Division of Computer Engineering, Hoseo University, Asan, 31499, Republic of Korea.<\/p>\n\n\n\n

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Pages 1-14 | Received 10 February 2025, Accepted 01 June 2025, Published 19 July 2026 <\/span><\/p>\n\n\n\n

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Abstract<\/span><\/strong><\/p>\n\n\n\n

This paper continues the study of the recently introduced notion of J-ideals by Khashan and Bani-Ata, extending it to a module-theoretic and homological framework. First, we introduce and investigate J-injective modules, providing a Baer-type characterization and studying their relation to J-torsion-free and J-divisible modules. We then define and examine J-Noetherian modules and rings, showing that many classical properties such as the ascending chain condition and the Cartan\u2013Eilenberg\u2013Bass Theorem admit J-analogues. Finally, we develop the theory of J-flat and J-coherent modules, characterizing J-coherent rings through homological conditions and examples. Our results reveal that many homological behaviors persist in this broader setting, shedding light on the structural richness of the J-ideal framework.<\/p>\n\n\n\n

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Keywords<\/strong>:<\/span> J-submodule, J-injective module, J-Noetherian module, J-Noetherian ring, J-flat module, J-coherent module, J-coherent ring.<\/p>\n\n\n\n

MSC numbers<\/strong>:<\/span> 13A15, 13A18, 13F05, 13G05, 13C20.<\/p>\n\n\n\n

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Moroccan Journal of Algebra and Geometry with Applications Latest articles On J-Noetherian modules and J-coherent modules Younes El Haddaoui and Hwankoo Kim Department of Mathematics, Faculty of Science and Technology, Fez, Morocco. Division of Computer Engineering, Hoseo University, Asan, 31499, Republic of Korea. . Pages 1-14 | Received 10 February 2025, Accepted 01 June 2025, Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-page-builder.php","meta":{"footnotes":""},"class_list":["post-3165","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/3165","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/comments?post=3165"}],"version-history":[{"count":5,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/3165\/revisions"}],"predecessor-version":[{"id":3252,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/3165\/revisions\/3252"}],"wp:attachment":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/media?parent=3165"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}