{"id":2955,"date":"2026-01-03T21:53:11","date_gmt":"2026-01-03T21:53:11","guid":{"rendered":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/?page_id=2955"},"modified":"2026-01-26T12:09:31","modified_gmt":"2026-01-26T12:09:31","slug":"on-quasi-n-absorbing-submodules","status":"publish","type":"page","link":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/on-quasi-n-absorbing-submodules\/","title":{"rendered":"On quasi n-absorbing submodules"},"content":{"rendered":"\n
<\/div>\n\n\n\n
\n
<\/div>\n\n\n\n
\n
\"\"<\/figure>\n<\/div>\n\n\n\n
\n

Moroccan Journal of Algebra and Geometry with Applications<\/strong><\/p>\n\n\n\n

Latest articles<\/a><\/p>\n<\/div>\n\n\n\n

\n
<\/div>\n<\/div>\n\n\n\n
<\/div>\n\n\n\n
<\/div>\n<\/div>\n\n\n\n

<\/p>\n\n\n\n

\n
\n

On quasi n-absorbing submodules<\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

Malik Tusif Ahmed\\,^1<\/span>, Mohammed Issoual\\,^2<\/span> and Mohammed Tamekkante<\/strong>\\,^3<\/span><\/i>
\\,^1<\/span> Department of Mathematics and Statitscs, Hazara University Mansehra, KPK, Pakistan.
\\,^2<\/span> CRMEF F\u00e8s-Mekn\u00e8s, Morocco.
\\,^3<\/span> Department of Mathematics, Faculty of Science, Box 11201 Zitoune, University Moulay Ismail Meknes, Morocco.<\/p>\n\n\n\n

.<\/p>\n\n\n\n


<\/p>\n\n\n\n

<\/div>\n\n\n\n

Pages 259-267 | Received 20 September 2024, Accepted 20 May 2025, Published 26 January 2026 <\/span><\/p>\n\n\n\n

<\/div>\n\n\n\n
\n
<\/div>\n\n\n\n
\n
<\/div>\n\n\n\n

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

Let R<\/span> be a commutative ring with 1\\neq 0,\\ M <\/span> be an R<\/span>-module, and n<\/span> be a positive integer. The purpose of this article is to investigate quasi n<\/span>-absorbing (resp., weakly quasi n<\/span>-absorbing) submodules generalizing quasi n<\/span>-absorbing ideals of rings. We will say a proper submodule N<\/span> of M<\/span> is quasi n<\/span>-absorbing (resp., weakly quasi n<\/span>-absorbing) submodule of M<\/span> if whenever a\\in R<\/span> and x\\in M<\/span> with a^{n}x\\in N,<\/span> (resp., 0\\neq a^{n}x\\in N<\/span>) then, either a^{n}\\in (N:_{R}M)<\/span> or a^{n-1}x\\in N.<\/span><\/p>\n\n\n\n

<\/p>\n\n\n\n

Keywords<\/strong>:<\/span> n-absorbing ideals, n-absorbing submodules, quasi n-absorbing ideals, quasi n-absorbing submodules.<\/p>\n\n\n\n

MSC numbers<\/strong>:<\/span> 13C13, 13A15.<\/p>\n\n\n\n

<\/p>\n\n\n\n

Downloads:<\/strong> Full-text PDF<\/a><\/p>\n<\/div>\n\n\n\n

<\/div>\n<\/div>\n\n\n\n
\n
<\/div>\n\n\n\n
20-vf<\/a><\/div>\n\n\n\n
<\/div>\n<\/div>\n\n\n\n
<\/div>\n\n\n\n
\n
\n
\n
Previous article <\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n
\n
\n
View<\/strong> issue table of contents<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n
\n
\n
Next<\/strong> article<\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

Moroccan Journal of Algebra and Geometry with Applications Latest articles On quasi n-absorbing submodules Malik Tusif Ahmed, Mohammed Issoual and Mohammed Tamekkante Department of Mathematics and Statitscs, Hazara University Mansehra, KPK, Pakistan. CRMEF F\u00e8s-Mekn\u00e8s, Morocco. Department of Mathematics, Faculty of Science, Box 11201 Zitoune, University Moulay Ismail Meknes, Morocco. . Pages 259-267 | Received 20 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-2955","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2955","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=2955"}],"version-history":[{"count":8,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2955\/revisions"}],"predecessor-version":[{"id":3002,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2955\/revisions\/3002"}],"wp:attachment":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/media?parent=2955"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}