{"id":3242,"date":"2026-07-18T19:53:03","date_gmt":"2026-07-18T19:53:03","guid":{"rendered":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/?page_id=3242"},"modified":"2026-07-18T20:51:49","modified_gmt":"2026-07-18T20:51:49","slug":"nil-m-noetherian-and-nil-m-artinian-modules","status":"publish","type":"page","link":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/nil-m-noetherian-and-nil-m-artinian-modules\/","title":{"rendered":"Nil-M-Noetherian and nil-M-Artinian 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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Nil-M-Noetherian and nil-M-Artinian modules<\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

Faranak Farshadifar <\/strong><\/i>
Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran.<\/p>\n\n\n\n

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Pages 103-112 | Received 11 April 2025, Accepted 28 August 2025, Published 19 July 2026 <\/span><\/p>\n\n\n\n

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

Let R be a commutative ring with identity and M be an R-module. The aim of this paper is to introduce and investigate the notions of nil-M-Noetherian and nil-M-Artinian modules as generalizations of Noetherian and Artinian modules. Also, in this regard we introduce nil versions of some algebraic concepts.<\/p>\n\n\n\n

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Keywords<\/strong>:<\/span> Nil-M-cyclic, nil-M-Noetherian, nil-M-Artinian, nil-M-finitely generated, nil-M-finitely cogenerated.<\/p>\n\n\n\n

MSC numbers<\/strong>:<\/span> 13C13, 13C99.<\/p>\n\n\n\n

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Moroccan Journal of Algebra and Geometry with Applications Latest articles Nil-M-Noetherian and nil-M-Artinian modules Faranak Farshadifar Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran. Pages 103-112 | Received 11 April 2025, Accepted 28 August 2025, Published 19 July 2026 Abstract Let R be a commutative ring with identity and M be an 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-3242","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/3242","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=3242"}],"version-history":[{"count":4,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/3242\/revisions"}],"predecessor-version":[{"id":3256,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/3242\/revisions\/3256"}],"wp:attachment":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/media?parent=3242"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}