{"id":2389,"date":"2024-11-02T20:42:02","date_gmt":"2024-11-02T20:42:02","guid":{"rendered":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/?page_id=2389"},"modified":"2024-11-08T08:14:10","modified_gmt":"2024-11-08T08:14:10","slug":"characterizing-some-commutative-rings-by-divisibility-conditions","status":"publish","type":"page","link":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/characterizing-some-commutative-rings-by-divisibility-conditions\/","title":{"rendered":"Characterizing some commutative rings by divisibility conditions"},"content":{"rendered":"\n<div style=\"height:63px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:25%\">\n<figure class=\"wp-block-image size-full is-resized is-style-default\"><img loading=\"lazy\" decoding=\"async\" width=\"468\" height=\"577\" src=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-content\/uploads\/2022\/03\/logovf-4.png\" alt=\"\" class=\"wp-image-752\" style=\"width:150px;height:200px\" srcset=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-content\/uploads\/2022\/03\/logovf-4.png 468w, https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-content\/uploads\/2022\/03\/logovf-4-243x300.png 243w\" sizes=\"auto, (max-width: 468px) 100vw, 468px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:70%\">\n<p style=\"font-size:21px\"><strong>Moroccan Journal of Algebra and Geometry with Applications<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/latest-issue\/\" data-type=\"link\" data-id=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/latest-issue\/\">Latest articles<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:1200px\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n\n\n\n<p class=\"has-text-align-center has-text-color has-huge-font-size\" style=\"color:#060182\"><strong>Characterizing some commutative rings by divisibility conditions<\/strong><\/p>\n\n\n\n<div style=\"height:37px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-text-align-center\" style=\"font-size:18.5px\"><strong>Ayman Badawi&nbsp;<\/strong><i class=\"fas fa-envelope\"><\/i><br> Department of Mathematics &amp; Statistics, The American University of Sharjah, P.O.<br>Box 26666, Sharjah, United Arab Emirates.<\/p>\n\n\n\n<div style=\"height:35px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-text-align-center\" style=\"font-size:18.5px\"><span style=\"color:#626161\" class=\"color\">Pages 243\u2013248 |  Received 26 November 2023,  Accepted 31 January 2024, Published 08<span style=\"color:#626161\" class=\"color\"> November 2024<\/span>  <\/span><\/p>\n\n\n\n<div style=\"height:31px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:25%\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:250%\">\n<div style=\"height:51px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-large-font-size\"><strong><span style=\"color:#060182\" class=\"color\">Abstract<\/span><\/strong><\/p>\n\n\n\n<p>In this paper, we collect results on divisibility that characterize known commutative rings.<\/p>\n\n\n\n<p class=\"has-small-font-size\"><span style=\"color:#060182\" class=\"color\"><strong>Keywords<\/strong>:<\/span>&nbsp; linearly ordered, pseudo-valuation ring, divided ring.<\/p>\n\n\n\n<p class=\"has-small-font-size\"><span style=\"color:#060182\" class=\"color\"><strong>MSC numbers<\/strong>:<\/span> Primary 13A15; Secondary 13F05, 13G05.<\/p>\n\n\n\n<p class=\"has-small-font-size\"><strong>Downloads:<\/strong> <a href=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-content\/uploads\/2024\/11\/MJAGA_Volume_3_Issue_2-243-248.pdf\" data-type=\"link\" data-id=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-content\/uploads\/2024\/11\/MJAGA_Volume_3_Issue_2-243-248.pdf\">Full-text PDF<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:25%\"><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:25%\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:800px\"><a href=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-content\/uploads\/2024\/11\/MJAGA_Volume_3_Issue_2-243-248.pdf\" class=\"pdfemb-viewer\" style=\"width:700px;height:950px;\" data-width=\"700\" data-height=\"950\" data-toolbar=\"bottom\" data-toolbar-fixed=\"off\">MJAGA_Volume_3_Issue_2-243-248<\/a><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:25%\"><\/div>\n<\/div>\n\n\n\n<div style=\"height:96px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-buttons is-content-justification-right is-layout-flex wp-container-core-buttons-is-layout-765c4724 wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button is-style-outline is-style-outline--1\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/on-phi-1-absorbing-primary-submodules\/\" style=\"border-radius:100px\">Previous article <\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button is-style-outline is-style-outline--2\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/moroccan-journal-of-algebra-and-geometry-with-applications-volume-3-issue-2-2024\/\" style=\"border-radius:100px\"><strong>View<\/strong>&nbsp;issue table of contents<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-buttons is-content-justification-left is-layout-flex wp-container-core-buttons-is-layout-fdcfc74e wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button is-style-outline is-style-outline--3\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/on-two-classes-of-modules-related-to-cs-trivial-extensions-ii\/\" style=\"border-radius:100px\"><strong>Next<\/strong>&nbsp;article<\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Moroccan Journal of Algebra and Geometry with Applications Latest articles Characterizing some commutative rings by divisibility conditions Ayman Badawi&nbsp; Department of Mathematics &amp; Statistics, The American University of Sharjah, P.O.Box 26666, Sharjah, United Arab Emirates. Pages 243\u2013248 | Received 26 November 2023, Accepted 31 January 2024, Published 08 November 2024 Abstract In this paper, we <a class=\"read-more-link\" href=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/characterizing-some-commutative-rings-by-divisibility-conditions\/\">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-2389","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2389","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=2389"}],"version-history":[{"count":12,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2389\/revisions"}],"predecessor-version":[{"id":2507,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2389\/revisions\/2507"}],"wp:attachment":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/media?parent=2389"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}